Least Common Multiple of 10130 and 10134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10130 and 10134 the smallest integer that is 51328710 that is divisible by both numbers.

Least Common Multiple (LCM) of 10130 and 10134 is 51328710.

LCM(10130,10134) = 51328710

LCM of 10130 and 10134

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

LCM of:
and

Least Common Multiple of 10130 and 10134

LCM of 10130 and 10134 is 51328710

Least common multiple can be found by multiplying the highest exponent prime factors of 10130 and 10134. First we will calculate the prime factors of 10130 and 10134.

Prime Factorization of 10130


2 10130
5 5065
1013 1013
1

Prime factors of 10130 are 2, 5,1013. Prime factorization of 10130 in exponential form is:

10130 = 21×51×10131

Prime Factorization of 10134


2 10134
3 5067
3 1689
563 563
1

Prime factors of 10134 are 2, 3,563. Prime factorization of 10134 in exponential form is:

10134 = 21×32×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 10130 and 10134.

LCM(10130,10134) = 21×32×51×5631×10131
LCM(10130,10134) = 51328710

Factors of 10130

List of positive integer factors of 10130 that divides 10130 without a remainder.

1, 2, 5, 10, 1013, 2026, 5065, 10130

Factors of 10134

List of positive integer factors of 10134 that divides 10134 without a remainder.

1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134

Least Common Multiple of 10130 and 10134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10130 and 10134, than apply into the LCM equation.

GCF(10130,10134) = 2
LCM(10130,10134) = ( 10130 × 10134) / 2
LCM(10130,10134) = 102657420 / 2
LCM(10130,10134) = 51328710

Properties of LCM 10130 and 10134

(i) The LCM of 10134 and 10130 is associative

LCM of 10130 and 10134 = LCM of 10134 and 10130

Related Least Common Multiples of 10130

Related Least Common Multiples of 10134

Frequently Asked Questions on LCM of 10130 and 10134

1. What is the LCM of 10130 and 10134?

Answer: LCM of 10130 and 10134 is 51328710.

2. What are the Factors of 10130?

Answer: Factors of 10130 are 1, 2, 5, 10, 1013, 2026, 5065, 10130. There are 8 integers that are factors of 10130. The greatest factor of 10130 is 10130.

3. What are the Factors of 10134?

Answer: Factors of 10134 are 1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134. There are 12 integers that are factors of 10134. The greatest factor of 10134 is 10134.

4. How to Find the LCM of 10130 and 10134?

Answer:

Least Common Multiple of 10130 and 10134 = 51328710

Step 1: Find the prime factorization of 10130

10130 = 2 x 5 x 1013

Step 2: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

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

LCM = 51328710 = 2 x 3 x 3 x 5 x 563 x 1013

Step 4: Therefore, the least common multiple of 10130 and 10134 is 51328710.