Least Common Multiple of 10130 and 10136

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 10136 the smallest integer that is 51338840 that is divisible by both numbers.

Least Common Multiple (LCM) of 10130 and 10136 is 51338840.

LCM(10130,10136) = 51338840

LCM of 10130 and 10136

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

LCM of:
and

Least Common Multiple of 10130 and 10136

LCM of 10130 and 10136 is 51338840

Least common multiple can be found by multiplying the highest exponent prime factors of 10130 and 10136. First we will calculate the prime factors of 10130 and 10136.

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 10136


2 10136
2 5068
2 2534
7 1267
181 181
1

Prime factors of 10136 are 2, 7,181. Prime factorization of 10136 in exponential form is:

10136 = 23×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 10130 and 10136.

LCM(10130,10136) = 23×51×71×1811×10131
LCM(10130,10136) = 51338840

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 10136

List of positive integer factors of 10136 that divides 10136 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068, 10136

Least Common Multiple of 10130 and 10136 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 10136, than apply into the LCM equation.

GCF(10130,10136) = 2
LCM(10130,10136) = ( 10130 × 10136) / 2
LCM(10130,10136) = 102677680 / 2
LCM(10130,10136) = 51338840

Properties of LCM 10130 and 10136

(i) The LCM of 10136 and 10130 is associative

LCM of 10130 and 10136 = LCM of 10136 and 10130

Related Least Common Multiples of 10130

Related Least Common Multiples of 10136

Frequently Asked Questions on LCM of 10130 and 10136

1. What is the LCM of 10130 and 10136?

Answer: LCM of 10130 and 10136 is 51338840.

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 10136?

Answer: Factors of 10136 are 1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068, 10136. There are 16 integers that are factors of 10136. The greatest factor of 10136 is 10136.

4. How to Find the LCM of 10130 and 10136?

Answer:

Least Common Multiple of 10130 and 10136 = 51338840

Step 1: Find the prime factorization of 10130

10130 = 2 x 5 x 1013

Step 2: Find the prime factorization of 10136

10136 = 2 x 2 x 2 x 7 x 181

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

LCM = 51338840 = 2 x 2 x 2 x 5 x 7 x 181 x 1013

Step 4: Therefore, the least common multiple of 10130 and 10136 is 51338840.