Least Common Multiple of 7629 and 7635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7629 and 7635 the smallest integer that is 19415805 that is divisible by both numbers.

Least Common Multiple (LCM) of 7629 and 7635 is 19415805.

LCM(7629,7635) = 19415805

LCM of 7629 and 7635

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

LCM of:
and

Least Common Multiple of 7629 and 7635

LCM of 7629 and 7635 is 19415805

Least common multiple can be found by multiplying the highest exponent prime factors of 7629 and 7635. First we will calculate the prime factors of 7629 and 7635.

Prime Factorization of 7629


3 7629
2543 2543
1

Prime factors of 7629 are 3,2543. Prime factorization of 7629 in exponential form is:

7629 = 31×25431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7629 and 7635.

LCM(7629,7635) = 31×51×5091×25431
LCM(7629,7635) = 19415805

Factors of 7629

List of positive integer factors of 7629 that divides 7629 without a remainder.

1, 3, 2543, 7629

Factors of 7635

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

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

Least Common Multiple of 7629 and 7635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7629 and 7635, than apply into the LCM equation.

GCF(7629,7635) = 3
LCM(7629,7635) = ( 7629 × 7635) / 3
LCM(7629,7635) = 58247415 / 3
LCM(7629,7635) = 19415805

Properties of LCM 7629 and 7635

(i) The LCM of 7635 and 7629 is associative

LCM of 7629 and 7635 = LCM of 7635 and 7629

Related Least Common Multiples of 7629

Related Least Common Multiples of 7635

Frequently Asked Questions on LCM of 7629 and 7635

1. What is the LCM of 7629 and 7635?

Answer: LCM of 7629 and 7635 is 19415805.

2. What are the Factors of 7629?

Answer: Factors of 7629 are 1, 3, 2543, 7629. There are 4 integers that are factors of 7629. The greatest factor of 7629 is 7629.

3. 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.

4. How to Find the LCM of 7629 and 7635?

Answer:

Least Common Multiple of 7629 and 7635 = 19415805

Step 1: Find the prime factorization of 7629

7629 = 3 x 2543

Step 2: Find the prime factorization of 7635

7635 = 3 x 5 x 509

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

LCM = 19415805 = 3 x 5 x 509 x 2543

Step 4: Therefore, the least common multiple of 7629 and 7635 is 19415805.