Least Common Multiple of 125 and 127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 125 and 127 the smallest integer that is 15875 that is divisible by both numbers.

Least Common Multiple (LCM) of 125 and 127 is 15875.

LCM(125,127) = 15875

LCM of 125 and 127

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

LCM of:
and

Least Common Multiple of 125 and 127

LCM of 125 and 127 is 15875

Least common multiple can be found by multiplying the highest exponent prime factors of 125 and 127. First we will calculate the prime factors of 125 and 127.

Prime Factorization of 125


5 125
5 25
5 5
1

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 53

Prime Factorization of 127


127 127
1

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 125 and 127.

LCM(125,127) = 53×1271
LCM(125,127) = 15875

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1, 127

Least Common Multiple of 125 and 127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 125 and 127, than apply into the LCM equation.

GCF(125,127) = 1
LCM(125,127) = ( 125 × 127) / 1
LCM(125,127) = 15875 / 1
LCM(125,127) = 15875

Properties of LCM 125 and 127

(i) The LCM of 127 and 125 is associative

LCM of 125 and 127 = LCM of 127 and 125

Related Least Common Multiples of 125

Related Least Common Multiples of 127

Frequently Asked Questions on LCM of 125 and 127

1. What is the LCM of 125 and 127?

Answer: LCM of 125 and 127 is 15875.

2. What are the Factors of 125?

Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.

3. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

4. How to Find the LCM of 125 and 127?

Answer:

Least Common Multiple of 125 and 127 = 15875

Step 1: Find the prime factorization of 125

125 = 5 x 5 x 5

Step 2: Find the prime factorization of 127

127 = 127

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

LCM = 15875 = 5 x 5 x 5 x 127

Step 4: Therefore, the least common multiple of 125 and 127 is 15875.