Least Common Multiple of 126 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 126 and 127 the smallest integer that is 16002 that is divisible by both numbers.

Least Common Multiple (LCM) of 126 and 127 is 16002.

LCM(126,127) = 16002

LCM of 126 and 127

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

LCM of:
and

Least Common Multiple of 126 and 127

LCM of 126 and 127 is 16002

Least common multiple can be found by multiplying the highest exponent prime factors of 126 and 127. First we will calculate the prime factors of 126 and 127.

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

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 126 and 127.

LCM(126,127) = 21×32×71×1271
LCM(126,127) = 16002

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

Factors of 127

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

1, 127

Least Common Multiple of 126 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 126 and 127, than apply into the LCM equation.

GCF(126,127) = 1
LCM(126,127) = ( 126 × 127) / 1
LCM(126,127) = 16002 / 1
LCM(126,127) = 16002

Properties of LCM 126 and 127

(i) The LCM of 127 and 126 is associative

LCM of 126 and 127 = LCM of 127 and 126

Related Least Common Multiples of 126

Related Least Common Multiples of 127

Frequently Asked Questions on LCM of 126 and 127

1. What is the LCM of 126 and 127?

Answer: LCM of 126 and 127 is 16002.

2. 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.

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 126 and 127?

Answer:

Least Common Multiple of 126 and 127 = 16002

Step 1: Find the prime factorization of 126

126 = 2 x 3 x 3 x 7

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 = 16002 = 2 x 3 x 3 x 7 x 127

Step 4: Therefore, the least common multiple of 126 and 127 is 16002.