Least Common Multiple of 7635 and 7639

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 7639 the smallest integer that is 58323765 that is divisible by both numbers.

Least Common Multiple (LCM) of 7635 and 7639 is 58323765.

LCM(7635,7639) = 58323765

LCM of 7635 and 7639

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

LCM of:
and

Least Common Multiple of 7635 and 7639

LCM of 7635 and 7639 is 58323765

Least common multiple can be found by multiplying the highest exponent prime factors of 7635 and 7639. First we will calculate the prime factors of 7635 and 7639.

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 7639


7639 7639
1

Prime factors of 7639 are 7639. Prime factorization of 7639 in exponential form is:

7639 = 76391

Now multiplying the highest exponent prime factors to calculate the LCM of 7635 and 7639.

LCM(7635,7639) = 31×51×5091×76391
LCM(7635,7639) = 58323765

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 7639

List of positive integer factors of 7639 that divides 7639 without a remainder.

1, 7639

Least Common Multiple of 7635 and 7639 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 7639, than apply into the LCM equation.

GCF(7635,7639) = 1
LCM(7635,7639) = ( 7635 × 7639) / 1
LCM(7635,7639) = 58323765 / 1
LCM(7635,7639) = 58323765

Properties of LCM 7635 and 7639

(i) The LCM of 7639 and 7635 is associative

LCM of 7635 and 7639 = LCM of 7639 and 7635

Related Least Common Multiples of 7635

Related Least Common Multiples of 7639

Frequently Asked Questions on LCM of 7635 and 7639

1. What is the LCM of 7635 and 7639?

Answer: LCM of 7635 and 7639 is 58323765.

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 7639?

Answer: Factors of 7639 are 1, 7639. There are 2 integers that are factors of 7639. The greatest factor of 7639 is 7639.

4. How to Find the LCM of 7635 and 7639?

Answer:

Least Common Multiple of 7635 and 7639 = 58323765

Step 1: Find the prime factorization of 7635

7635 = 3 x 5 x 509

Step 2: Find the prime factorization of 7639

7639 = 7639

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

LCM = 58323765 = 3 x 5 x 509 x 7639

Step 4: Therefore, the least common multiple of 7635 and 7639 is 58323765.