Least Common Multiple of 10140 and 10147

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 10147 the smallest integer that is 102890580 that is divisible by both numbers.

Least Common Multiple (LCM) of 10140 and 10147 is 102890580.

LCM(10140,10147) = 102890580

LCM of 10140 and 10147

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

LCM of:
and

Least Common Multiple of 10140 and 10147

LCM of 10140 and 10147 is 102890580

Least common multiple can be found by multiplying the highest exponent prime factors of 10140 and 10147. First we will calculate the prime factors of 10140 and 10147.

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 10147


73 10147
139 139
1

Prime factors of 10147 are 73,139. Prime factorization of 10147 in exponential form is:

10147 = 731×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10140 and 10147.

LCM(10140,10147) = 22×31×51×132×731×1391
LCM(10140,10147) = 102890580

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 10147

List of positive integer factors of 10147 that divides 10147 without a remainder.

1, 73, 139, 10147

Least Common Multiple of 10140 and 10147 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 10147, than apply into the LCM equation.

GCF(10140,10147) = 1
LCM(10140,10147) = ( 10140 × 10147) / 1
LCM(10140,10147) = 102890580 / 1
LCM(10140,10147) = 102890580

Properties of LCM 10140 and 10147

(i) The LCM of 10147 and 10140 is associative

LCM of 10140 and 10147 = LCM of 10147 and 10140

Related Least Common Multiples of 10140

Related Least Common Multiples of 10147

Frequently Asked Questions on LCM of 10140 and 10147

1. What is the LCM of 10140 and 10147?

Answer: LCM of 10140 and 10147 is 102890580.

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 10147?

Answer: Factors of 10147 are 1, 73, 139, 10147. There are 4 integers that are factors of 10147. The greatest factor of 10147 is 10147.

4. How to Find the LCM of 10140 and 10147?

Answer:

Least Common Multiple of 10140 and 10147 = 102890580

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 10147

10147 = 73 x 139

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

LCM = 102890580 = 2 x 2 x 3 x 5 x 13 x 13 x 73 x 139

Step 4: Therefore, the least common multiple of 10140 and 10147 is 102890580.