Least Common Multiple of 10140 and 10148

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 10148 the smallest integer that is 25725180 that is divisible by both numbers.

Least Common Multiple (LCM) of 10140 and 10148 is 25725180.

LCM(10140,10148) = 25725180

LCM of 10140 and 10148

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

LCM of:
and

Least Common Multiple of 10140 and 10148

LCM of 10140 and 10148 is 25725180

Least common multiple can be found by multiplying the highest exponent prime factors of 10140 and 10148. First we will calculate the prime factors of 10140 and 10148.

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 10148


2 10148
2 5074
43 2537
59 59
1

Prime factors of 10148 are 2, 43,59. Prime factorization of 10148 in exponential form is:

10148 = 22×431×591

Now multiplying the highest exponent prime factors to calculate the LCM of 10140 and 10148.

LCM(10140,10148) = 22×31×51×132×431×591
LCM(10140,10148) = 25725180

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 10148

List of positive integer factors of 10148 that divides 10148 without a remainder.

1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148

Least Common Multiple of 10140 and 10148 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 10148, than apply into the LCM equation.

GCF(10140,10148) = 4
LCM(10140,10148) = ( 10140 × 10148) / 4
LCM(10140,10148) = 102900720 / 4
LCM(10140,10148) = 25725180

Properties of LCM 10140 and 10148

(i) The LCM of 10148 and 10140 is associative

LCM of 10140 and 10148 = LCM of 10148 and 10140

Related Least Common Multiples of 10140

Related Least Common Multiples of 10148

Frequently Asked Questions on LCM of 10140 and 10148

1. What is the LCM of 10140 and 10148?

Answer: LCM of 10140 and 10148 is 25725180.

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 10148?

Answer: Factors of 10148 are 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148. There are 12 integers that are factors of 10148. The greatest factor of 10148 is 10148.

4. How to Find the LCM of 10140 and 10148?

Answer:

Least Common Multiple of 10140 and 10148 = 25725180

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 10148

10148 = 2 x 2 x 43 x 59

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

LCM = 25725180 = 2 x 2 x 3 x 5 x 13 x 13 x 43 x 59

Step 4: Therefore, the least common multiple of 10140 and 10148 is 25725180.