Least Common Multiple of 7628 and 7629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7628 and 7629 the smallest integer that is 58194012 that is divisible by both numbers.

Least Common Multiple (LCM) of 7628 and 7629 is 58194012.

LCM(7628,7629) = 58194012

LCM of 7628 and 7629

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

LCM of:
and

Least Common Multiple of 7628 and 7629

LCM of 7628 and 7629 is 58194012

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7629. First we will calculate the prime factors of 7628 and 7629.

Prime Factorization of 7628


2 7628
2 3814
1907 1907
1

Prime factors of 7628 are 2,1907. Prime factorization of 7628 in exponential form is:

7628 = 22×19071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7628 and 7629.

LCM(7628,7629) = 22×31×19071×25431
LCM(7628,7629) = 58194012

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1, 2, 4, 1907, 3814, 7628

Factors of 7629

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

1, 3, 2543, 7629

Least Common Multiple of 7628 and 7629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7628 and 7629, than apply into the LCM equation.

GCF(7628,7629) = 1
LCM(7628,7629) = ( 7628 × 7629) / 1
LCM(7628,7629) = 58194012 / 1
LCM(7628,7629) = 58194012

Properties of LCM 7628 and 7629

(i) The LCM of 7629 and 7628 is associative

LCM of 7628 and 7629 = LCM of 7629 and 7628

Related Least Common Multiples of 7628

Related Least Common Multiples of 7629

Frequently Asked Questions on LCM of 7628 and 7629

1. What is the LCM of 7628 and 7629?

Answer: LCM of 7628 and 7629 is 58194012.

2. What are the Factors of 7628?

Answer: Factors of 7628 are 1, 2, 4, 1907, 3814, 7628. There are 6 integers that are factors of 7628. The greatest factor of 7628 is 7628.

3. 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.

4. How to Find the LCM of 7628 and 7629?

Answer:

Least Common Multiple of 7628 and 7629 = 58194012

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

Step 2: Find the prime factorization of 7629

7629 = 3 x 2543

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

LCM = 58194012 = 2 x 2 x 3 x 1907 x 2543

Step 4: Therefore, the least common multiple of 7628 and 7629 is 58194012.