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Least Common Multiple of 44 and 48

Free LCM Calculator determines the least common multiple (LCM) between 44 and 48 the smallest integer that is 528 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 48 is 528.

LCM(44,48) = 528

LCM of 44 and 48

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple (LCM) of 44 and 48 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 48. First we will calculate the prime factors of 44 and 48.

Prime Factorization of 44


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Prime Factorization of 48


2 48
2 24
2 12
2 6
3 3
1

Prime factors of 48 are 2,3. Prime factorization of 48 in exponential form is:

48 = 24×31

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 48.

LCM(44,48) = 24×31×111
LCM(44,48) = 528

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Least Common Multiple of 44 and 48 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44 and 48, than apply into the LCM equation.

GCF(44,48) = 4
LCM(44,48) = ( 44 × 48) / 4
LCM(44,48) = 2112 / 4
LCM(44,48) = 528

Properties of LCM 44 and 48

(i) The LCM of 48 and 44 is associative

LCM of 44 and 48 = LCM of 48 and 44

Frequently Asked Questions on LCM of 44 and 48

1. What is the LCM of 44 and 48?

Answer: LCM of 44 and 48 is 528.

2. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

3. What are the Factors of 48?

Answer: Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. There are 10 integers that are factors of 48. The greatest factor of 48 is 48.

4. How to Find the LCM of 44 and 48?

Answer:

Least Common Multiple of 44 and 48 = 528

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 48

48 = 2 x 2 x 2 x 2 x 3

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 528 = 2 x 2 x 2 x 2 x 3 x 11

Step 4: Therefore, the least common multiple of 44 and 48 is 528.