Least Common Multiple of 10135 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 10135 and 10140 the smallest integer that is 20553780 that is divisible by both numbers.

Least Common Multiple (LCM) of 10135 and 10140 is 20553780.

LCM(10135,10140) = 20553780

LCM of 10135 and 10140

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

LCM of:
and

Least Common Multiple of 10135 and 10140

LCM of 10135 and 10140 is 20553780

Least common multiple can be found by multiplying the highest exponent prime factors of 10135 and 10140. First we will calculate the prime factors of 10135 and 10140.

Prime Factorization of 10135


5 10135
2027 2027
1

Prime factors of 10135 are 5,2027. Prime factorization of 10135 in exponential form is:

10135 = 51×20271

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 10135 and 10140.

LCM(10135,10140) = 22×31×51×132×20271
LCM(10135,10140) = 20553780

Factors of 10135

List of positive integer factors of 10135 that divides 10135 without a remainder.

1, 5, 2027, 10135

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 10135 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 10135 and 10140, than apply into the LCM equation.

GCF(10135,10140) = 5
LCM(10135,10140) = ( 10135 × 10140) / 5
LCM(10135,10140) = 102768900 / 5
LCM(10135,10140) = 20553780

Properties of LCM 10135 and 10140

(i) The LCM of 10140 and 10135 is associative

LCM of 10135 and 10140 = LCM of 10140 and 10135

Related Least Common Multiples of 10135

Related Least Common Multiples of 10140

Frequently Asked Questions on LCM of 10135 and 10140

1. What is the LCM of 10135 and 10140?

Answer: LCM of 10135 and 10140 is 20553780.

2. What are the Factors of 10135?

Answer: Factors of 10135 are 1, 5, 2027, 10135. There are 4 integers that are factors of 10135. The greatest factor of 10135 is 10135.

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 10135 and 10140?

Answer:

Least Common Multiple of 10135 and 10140 = 20553780

Step 1: Find the prime factorization of 10135

10135 = 5 x 2027

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 = 20553780 = 2 x 2 x 3 x 5 x 13 x 13 x 2027

Step 4: Therefore, the least common multiple of 10135 and 10140 is 20553780.