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Least Common Multiple of 34 and 39

Free LCM Calculator determines the least common multiple (LCM) between 34 and 39 the smallest integer that is 1326 that is divisible by both numbers.

Least Common Multiple (LCM) of 34 and 39 is 1326.

LCM(34,39) = 1326

LCM of 34 and 39

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

LCM of:
and

Least Common Multiple (LCM) of 34 and 39 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34 and 39. First we will calculate the prime factors of 34 and 39.

Prime Factorization of 34


2 34
17 17
1

Prime factors of 34 are 2,17. Prime factorization of 34 in exponential form is:

34 = 21×171

Prime Factorization of 39


3 39
13 13
1

Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:

39 = 31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 34 and 39.

LCM(34,39) = 21×31×131×171
LCM(34,39) = 1326

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Least Common Multiple of 34 and 39 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34 and 39, than apply into the LCM equation.

GCF(34,39) = 1
LCM(34,39) = ( 34 × 39) / 1
LCM(34,39) = 1326 / 1
LCM(34,39) = 1326

Properties of LCM 34 and 39

(i) The LCM of 39 and 34 is associative

LCM of 34 and 39 = LCM of 39 and 34

Frequently Asked Questions on LCM of 34 and 39

1. What is the LCM of 34 and 39?

Answer: LCM of 34 and 39 is 1326.

2. What are the Factors of 34?

Answer: Factors of 34 are 1, 2, 17, 34. There are 4 integers that are factors of 34. The greatest factor of 34 is 34.

3. What are the Factors of 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

4. How to Find the LCM of 34 and 39?

Answer:

Least Common Multiple of 34 and 39 = 1326

Step 1: Find the prime factorization of 34

34 = 2 x 17

Step 2: Find the prime factorization of 39

39 = 3 x 13

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

LCM = 1326 = 2 x 3 x 13 x 17

Step 4: Therefore, the least common multiple of 34 and 39 is 1326.