Free LCM Calculator determines the least common multiple (LCM) between 20 and 25 the smallest integer that is 100 that is divisible by both numbers.

Least Common Multiple (LCM) of 20 and 25 is **100**.

LCM(20,25) = 100

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

- Least Common Multiple of 20 and 25 by Prime method
- Least Common Multiple of 20 and 25 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 20 and 25. First we will calculate the **prime factors of 20 and 25**.

**Prime Factorization of 20**

2 | 20 |

2 | 10 |

5 | 5 |

1 |

Prime factors of 20 are 2,5. Prime factorization of **20** in exponential form is:

20 = 2^{2}×5^{1}

**Prime Factorization of 25**

5 | 25 |

5 | 5 |

1 |

Prime factors of 25 are 5. Prime factorization of **25** in exponential form is:

25 = 5^{2}

Now multiplying the highest exponent prime factors to calculate the **LCM of 20 and 25**.

LCM(20,25) = 2^{2}×5^{2}

LCM(20,25) = 100

**Factors of 20**

List of positive integer factors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

**Factors of 25**

List of positive integer factors of 25 that divides 25 without a remainder.

1, 5, 25

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 20 and 25, than apply into the LCM equation.

GCF(20,25) = 5

LCM(20,25) = ( 20 × 25) / 5

LCM(20,25) = 500 / 5

LCM(20,25) = 100

(i) The LCM of 25 and 20 is associative

LCM of 20 and 25 = LCM of 25 and 20

1. What is the LCM of 20 and 25?

Answer: LCM of 20 and 25 is 100.

2. What are the Factors of 20?

Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.

3. What are the Factors of 25?

Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.

4. How to Find the LCM of 20 and 25?

Answer:

Least Common Multiple of 20 and 25 = 100

Step 1: Find the prime factorization of 20

20 = 2 x 2 x 5

Step 2: Find the prime factorization of 25

25 = 5 x 5

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

LCM = 100 = 2 x 2 x 5 x 5

Step 4: Therefore, the least common multiple of 20 and 25 is 100.