Least Common Multiple of 10140 and 10146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10140 and 10146 the smallest integer that is 17146740 that is divisible by both numbers.

Least Common Multiple (LCM) of 10140 and 10146 is 17146740.

LCM(10140,10146) = 17146740

LCM of 10140 and 10146

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

LCM of:
and

Least Common Multiple of 10140 and 10146

LCM of 10140 and 10146 is 17146740

Least common multiple can be found by multiplying the highest exponent prime factors of 10140 and 10146. First we will calculate the prime factors of 10140 and 10146.

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

Prime Factorization of 10146


2 10146
3 5073
19 1691
89 89
1

Prime factors of 10146 are 2, 3, 19,89. Prime factorization of 10146 in exponential form is:

10146 = 21×31×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 10140 and 10146.

LCM(10140,10146) = 22×31×51×132×191×891
LCM(10140,10146) = 17146740

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

Factors of 10146

List of positive integer factors of 10146 that divides 10146 without a remainder.

1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146

Least Common Multiple of 10140 and 10146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10140 and 10146, than apply into the LCM equation.

GCF(10140,10146) = 6
LCM(10140,10146) = ( 10140 × 10146) / 6
LCM(10140,10146) = 102880440 / 6
LCM(10140,10146) = 17146740

Properties of LCM 10140 and 10146

(i) The LCM of 10146 and 10140 is associative

LCM of 10140 and 10146 = LCM of 10146 and 10140

Related Least Common Multiples of 10140

Related Least Common Multiples of 10146

Frequently Asked Questions on LCM of 10140 and 10146

1. What is the LCM of 10140 and 10146?

Answer: LCM of 10140 and 10146 is 17146740.

2. 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.

3. What are the Factors of 10146?

Answer: Factors of 10146 are 1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146. There are 16 integers that are factors of 10146. The greatest factor of 10146 is 10146.

4. How to Find the LCM of 10140 and 10146?

Answer:

Least Common Multiple of 10140 and 10146 = 17146740

Step 1: Find the prime factorization of 10140

10140 = 2 x 2 x 3 x 5 x 13 x 13

Step 2: Find the prime factorization of 10146

10146 = 2 x 3 x 19 x 89

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

LCM = 17146740 = 2 x 2 x 3 x 5 x 13 x 13 x 19 x 89

Step 4: Therefore, the least common multiple of 10140 and 10146 is 17146740.