Least Common Multiple of 126 and 130

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 130 the smallest integer that is 8190 that is divisible by both numbers.

Least Common Multiple (LCM) of 126 and 130 is 8190.

LCM(126,130) = 8190

LCM of 126 and 130

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

LCM of:
and

Least Common Multiple of 126 and 130

LCM of 126 and 130 is 8190

Least common multiple can be found by multiplying the highest exponent prime factors of 126 and 130. First we will calculate the prime factors of 126 and 130.

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 130


2 130
5 65
13 13
1

Prime factors of 130 are 2, 5,13. Prime factorization of 130 in exponential form is:

130 = 21×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 126 and 130.

LCM(126,130) = 21×32×51×71×131
LCM(126,130) = 8190

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 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Least Common Multiple of 126 and 130 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 130, than apply into the LCM equation.

GCF(126,130) = 2
LCM(126,130) = ( 126 × 130) / 2
LCM(126,130) = 16380 / 2
LCM(126,130) = 8190

Properties of LCM 126 and 130

(i) The LCM of 130 and 126 is associative

LCM of 126 and 130 = LCM of 130 and 126

Related Least Common Multiples of 126

Related Least Common Multiples of 130

Frequently Asked Questions on LCM of 126 and 130

1. What is the LCM of 126 and 130?

Answer: LCM of 126 and 130 is 8190.

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 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

4. How to Find the LCM of 126 and 130?

Answer:

Least Common Multiple of 126 and 130 = 8190

Step 1: Find the prime factorization of 126

126 = 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 130

130 = 2 x 5 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 = 8190 = 2 x 3 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 126 and 130 is 8190.