Least Common Multiple of 7629 and 7636

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 7636 the smallest integer that is 58255044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7629 and 7636 is 58255044.

LCM(7629,7636) = 58255044

LCM of 7629 and 7636

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

LCM of:
and

Least Common Multiple of 7629 and 7636

LCM of 7629 and 7636 is 58255044

Least common multiple can be found by multiplying the highest exponent prime factors of 7629 and 7636. First we will calculate the prime factors of 7629 and 7636.

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 7636


2 7636
2 3818
23 1909
83 83
1

Prime factors of 7636 are 2, 23,83. Prime factorization of 7636 in exponential form is:

7636 = 22×231×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7629 and 7636.

LCM(7629,7636) = 22×31×231×831×25431
LCM(7629,7636) = 58255044

Factors of 7629

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

1, 3, 2543, 7629

Factors of 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636

Least Common Multiple of 7629 and 7636 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 7636, than apply into the LCM equation.

GCF(7629,7636) = 1
LCM(7629,7636) = ( 7629 × 7636) / 1
LCM(7629,7636) = 58255044 / 1
LCM(7629,7636) = 58255044

Properties of LCM 7629 and 7636

(i) The LCM of 7636 and 7629 is associative

LCM of 7629 and 7636 = LCM of 7636 and 7629

Related Least Common Multiples of 7629

Related Least Common Multiples of 7636

Frequently Asked Questions on LCM of 7629 and 7636

1. What is the LCM of 7629 and 7636?

Answer: LCM of 7629 and 7636 is 58255044.

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 7636?

Answer: Factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636. There are 12 integers that are factors of 7636. The greatest factor of 7636 is 7636.

4. How to Find the LCM of 7629 and 7636?

Answer:

Least Common Multiple of 7629 and 7636 = 58255044

Step 1: Find the prime factorization of 7629

7629 = 3 x 2543

Step 2: Find the prime factorization of 7636

7636 = 2 x 2 x 23 x 83

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

LCM = 58255044 = 2 x 2 x 3 x 23 x 83 x 2543

Step 4: Therefore, the least common multiple of 7629 and 7636 is 58255044.