Least Common Multiple of 10130 and 10138

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 10138 the smallest integer that is 51348970 that is divisible by both numbers.

Least Common Multiple (LCM) of 10130 and 10138 is 51348970.

LCM(10130,10138) = 51348970

LCM of 10130 and 10138

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

LCM of:
and

Least Common Multiple of 10130 and 10138

LCM of 10130 and 10138 is 51348970

Least common multiple can be found by multiplying the highest exponent prime factors of 10130 and 10138. First we will calculate the prime factors of 10130 and 10138.

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 10138


2 10138
37 5069
137 137
1

Prime factors of 10138 are 2, 37,137. Prime factorization of 10138 in exponential form is:

10138 = 21×371×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 10130 and 10138.

LCM(10130,10138) = 21×51×371×1371×10131
LCM(10130,10138) = 51348970

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 10138

List of positive integer factors of 10138 that divides 10138 without a remainder.

1, 2, 37, 74, 137, 274, 5069, 10138

Least Common Multiple of 10130 and 10138 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 10138, than apply into the LCM equation.

GCF(10130,10138) = 2
LCM(10130,10138) = ( 10130 × 10138) / 2
LCM(10130,10138) = 102697940 / 2
LCM(10130,10138) = 51348970

Properties of LCM 10130 and 10138

(i) The LCM of 10138 and 10130 is associative

LCM of 10130 and 10138 = LCM of 10138 and 10130

Related Least Common Multiples of 10130

Related Least Common Multiples of 10138

Frequently Asked Questions on LCM of 10130 and 10138

1. What is the LCM of 10130 and 10138?

Answer: LCM of 10130 and 10138 is 51348970.

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 10138?

Answer: Factors of 10138 are 1, 2, 37, 74, 137, 274, 5069, 10138. There are 8 integers that are factors of 10138. The greatest factor of 10138 is 10138.

4. How to Find the LCM of 10130 and 10138?

Answer:

Least Common Multiple of 10130 and 10138 = 51348970

Step 1: Find the prime factorization of 10130

10130 = 2 x 5 x 1013

Step 2: Find the prime factorization of 10138

10138 = 2 x 37 x 137

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

LCM = 51348970 = 2 x 5 x 37 x 137 x 1013

Step 4: Therefore, the least common multiple of 10130 and 10138 is 51348970.