Least Common Multiple of 10134 and 10140

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 10140 the smallest integer that is 17126460 that is divisible by both numbers.

Least Common Multiple (LCM) of 10134 and 10140 is 17126460.

LCM(10134,10140) = 17126460

LCM of 10134 and 10140

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

LCM of:
and

Least Common Multiple of 10134 and 10140

LCM of 10134 and 10140 is 17126460

Least common multiple can be found by multiplying the highest exponent prime factors of 10134 and 10140. First we will calculate the prime factors of 10134 and 10140.

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 10140


2 10140
2 5070
3 2535
5 845
13 169
13 13
1

Prime factors of 10140 are 2, 3, 5,13. Prime factorization of 10140 in exponential form is:

10140 = 22×31×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 10134 and 10140.

LCM(10134,10140) = 22×32×51×132×5631
LCM(10134,10140) = 17126460

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 10140

List of positive integer factors of 10140 that divides 10140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070, 10140

Least Common Multiple of 10134 and 10140 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 10140, than apply into the LCM equation.

GCF(10134,10140) = 6
LCM(10134,10140) = ( 10134 × 10140) / 6
LCM(10134,10140) = 102758760 / 6
LCM(10134,10140) = 17126460

Properties of LCM 10134 and 10140

(i) The LCM of 10140 and 10134 is associative

LCM of 10134 and 10140 = LCM of 10140 and 10134

Related Least Common Multiples of 10134

Related Least Common Multiples of 10140

Frequently Asked Questions on LCM of 10134 and 10140

1. What is the LCM of 10134 and 10140?

Answer: LCM of 10134 and 10140 is 17126460.

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 10140?

Answer: Factors of 10140 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070, 10140. There are 36 integers that are factors of 10140. The greatest factor of 10140 is 10140.

4. How to Find the LCM of 10134 and 10140?

Answer:

Least Common Multiple of 10134 and 10140 = 17126460

Step 1: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

Step 2: Find the prime factorization of 10140

10140 = 2 x 2 x 3 x 5 x 13 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 = 17126460 = 2 x 2 x 3 x 3 x 5 x 13 x 13 x 563

Step 4: Therefore, the least common multiple of 10134 and 10140 is 17126460.