Least Common Multiple of 7628 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 7628 and 7635 the smallest integer that is 58239780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7628 and 7635 is 58239780.

LCM(7628,7635) = 58239780

LCM of 7628 and 7635

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

LCM of:
and

Least Common Multiple of 7628 and 7635

LCM of 7628 and 7635 is 58239780

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7635. First we will calculate the prime factors of 7628 and 7635.

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 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 7628 and 7635.

LCM(7628,7635) = 22×31×51×5091×19071
LCM(7628,7635) = 58239780

Factors of 7628

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

1, 2, 4, 1907, 3814, 7628

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 7628 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 7628 and 7635, than apply into the LCM equation.

GCF(7628,7635) = 1
LCM(7628,7635) = ( 7628 × 7635) / 1
LCM(7628,7635) = 58239780 / 1
LCM(7628,7635) = 58239780

Properties of LCM 7628 and 7635

(i) The LCM of 7635 and 7628 is associative

LCM of 7628 and 7635 = LCM of 7635 and 7628

Related Least Common Multiples of 7628

Related Least Common Multiples of 7635

Frequently Asked Questions on LCM of 7628 and 7635

1. What is the LCM of 7628 and 7635?

Answer: LCM of 7628 and 7635 is 58239780.

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 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 7628 and 7635?

Answer:

Least Common Multiple of 7628 and 7635 = 58239780

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

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 = 58239780 = 2 x 2 x 3 x 5 x 509 x 1907

Step 4: Therefore, the least common multiple of 7628 and 7635 is 58239780.