Least Common Multiple of 125 and 126

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 126 the smallest integer that is 15750 that is divisible by both numbers.

Least Common Multiple (LCM) of 125 and 126 is 15750.

LCM(125,126) = 15750

LCM of 125 and 126

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

LCM of:
and

Least Common Multiple of 125 and 126

LCM of 125 and 126 is 15750

Least common multiple can be found by multiplying the highest exponent prime factors of 125 and 126. First we will calculate the prime factors of 125 and 126.

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 126


2 126
3 63
3 21
7 7
1

Prime factors of 126 are 2, 3,7. Prime factorization of 126 in exponential form is:

126 = 21×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 125 and 126.

LCM(125,126) = 21×32×53×71
LCM(125,126) = 15750

Factors of 125

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

1, 5, 25, 125

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Least Common Multiple of 125 and 126 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 126, than apply into the LCM equation.

GCF(125,126) = 1
LCM(125,126) = ( 125 × 126) / 1
LCM(125,126) = 15750 / 1
LCM(125,126) = 15750

Properties of LCM 125 and 126

(i) The LCM of 126 and 125 is associative

LCM of 125 and 126 = LCM of 126 and 125

Related Least Common Multiples of 125

Related Least Common Multiples of 126

Frequently Asked Questions on LCM of 125 and 126

1. What is the LCM of 125 and 126?

Answer: LCM of 125 and 126 is 15750.

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 126?

Answer: Factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. There are 12 integers that are factors of 126. The greatest factor of 126 is 126.

4. How to Find the LCM of 125 and 126?

Answer:

Least Common Multiple of 125 and 126 = 15750

Step 1: Find the prime factorization of 125

125 = 5 x 5 x 5

Step 2: Find the prime factorization of 126

126 = 2 x 3 x 3 x 7

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

LCM = 15750 = 2 x 3 x 3 x 5 x 5 x 5 x 7

Step 4: Therefore, the least common multiple of 125 and 126 is 15750.