Least Common Multiple of 127 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 127 and 130 the smallest integer that is 16510 that is divisible by both numbers.

Least Common Multiple (LCM) of 127 and 130 is 16510.

LCM(127,130) = 16510

LCM of 127 and 130

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

LCM of:
and

Least Common Multiple of 127 and 130

LCM of 127 and 130 is 16510

Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 130. First we will calculate the prime factors of 127 and 130.

Prime Factorization of 127


127 127
1

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

127 = 1271

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 127 and 130.

LCM(127,130) = 21×51×131×1271
LCM(127,130) = 16510

Factors of 127

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

1, 127

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 127 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 127 and 130, than apply into the LCM equation.

GCF(127,130) = 1
LCM(127,130) = ( 127 × 130) / 1
LCM(127,130) = 16510 / 1
LCM(127,130) = 16510

Properties of LCM 127 and 130

(i) The LCM of 130 and 127 is associative

LCM of 127 and 130 = LCM of 130 and 127

Related Least Common Multiples of 127

Related Least Common Multiples of 130

Frequently Asked Questions on LCM of 127 and 130

1. What is the LCM of 127 and 130?

Answer: LCM of 127 and 130 is 16510.

2. 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.

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 127 and 130?

Answer:

Least Common Multiple of 127 and 130 = 16510

Step 1: Find the prime factorization of 127

127 = 127

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 = 16510 = 2 x 5 x 13 x 127

Step 4: Therefore, the least common multiple of 127 and 130 is 16510.