Least Common Multiple of 10134 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 10134 and 10138 the smallest integer that is 51369246 that is divisible by both numbers.

Least Common Multiple (LCM) of 10134 and 10138 is 51369246.

LCM(10134,10138) = 51369246

LCM of 10134 and 10138

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

LCM of:
and

Least Common Multiple of 10134 and 10138

LCM of 10134 and 10138 is 51369246

Least common multiple can be found by multiplying the highest exponent prime factors of 10134 and 10138. First we will calculate the prime factors of 10134 and 10138.

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

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 10134 and 10138.

LCM(10134,10138) = 21×32×371×1371×5631
LCM(10134,10138) = 51369246

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

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 10134 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 10134 and 10138, than apply into the LCM equation.

GCF(10134,10138) = 2
LCM(10134,10138) = ( 10134 × 10138) / 2
LCM(10134,10138) = 102738492 / 2
LCM(10134,10138) = 51369246

Properties of LCM 10134 and 10138

(i) The LCM of 10138 and 10134 is associative

LCM of 10134 and 10138 = LCM of 10138 and 10134

Related Least Common Multiples of 10134

Related Least Common Multiples of 10138

Frequently Asked Questions on LCM of 10134 and 10138

1. What is the LCM of 10134 and 10138?

Answer: LCM of 10134 and 10138 is 51369246.

2. 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.

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 10134 and 10138?

Answer:

Least Common Multiple of 10134 and 10138 = 51369246

Step 1: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

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 = 51369246 = 2 x 3 x 3 x 37 x 137 x 563

Step 4: Therefore, the least common multiple of 10134 and 10138 is 51369246.