Least Common Multiple of 7635 and 7640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7635 and 7640 the smallest integer that is 11666280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7635 and 7640 is 11666280.

LCM(7635,7640) = 11666280

LCM of 7635 and 7640

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

LCM of:
and

Least Common Multiple of 7635 and 7640

LCM of 7635 and 7640 is 11666280

Least common multiple can be found by multiplying the highest exponent prime factors of 7635 and 7640. First we will calculate the prime factors of 7635 and 7640.

Prime Factorization of 7635


3 7635
5 2545
509 509
1

Prime factors of 7635 are 3, 5,509. Prime factorization of 7635 in exponential form is:

7635 = 31×51×5091

Prime Factorization of 7640


2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 7640 are 2, 5,191. Prime factorization of 7640 in exponential form is:

7640 = 23×51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7635 and 7640.

LCM(7635,7640) = 23×31×51×1911×5091
LCM(7635,7640) = 11666280

Factors of 7635

List of positive integer factors of 7635 that divides 7635 without a remainder.

1, 3, 5, 15, 509, 1527, 2545, 7635

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640

Least Common Multiple of 7635 and 7640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7635 and 7640, than apply into the LCM equation.

GCF(7635,7640) = 5
LCM(7635,7640) = ( 7635 × 7640) / 5
LCM(7635,7640) = 58331400 / 5
LCM(7635,7640) = 11666280

Properties of LCM 7635 and 7640

(i) The LCM of 7640 and 7635 is associative

LCM of 7635 and 7640 = LCM of 7640 and 7635

Related Least Common Multiples of 7635

Related Least Common Multiples of 7640

Frequently Asked Questions on LCM of 7635 and 7640

1. What is the LCM of 7635 and 7640?

Answer: LCM of 7635 and 7640 is 11666280.

2. What are the Factors of 7635?

Answer: Factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635. There are 8 integers that are factors of 7635. The greatest factor of 7635 is 7635.

3. What are the Factors of 7640?

Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.

4. How to Find the LCM of 7635 and 7640?

Answer:

Least Common Multiple of 7635 and 7640 = 11666280

Step 1: Find the prime factorization of 7635

7635 = 3 x 5 x 509

Step 2: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

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

LCM = 11666280 = 2 x 2 x 2 x 3 x 5 x 191 x 509

Step 4: Therefore, the least common multiple of 7635 and 7640 is 11666280.