Least Common Multiple of 7635 and 7642

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 7642 the smallest integer that is 58346670 that is divisible by both numbers.

Least Common Multiple (LCM) of 7635 and 7642 is 58346670.

LCM(7635,7642) = 58346670

LCM of 7635 and 7642

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

LCM of:
and

Least Common Multiple of 7635 and 7642

LCM of 7635 and 7642 is 58346670

Least common multiple can be found by multiplying the highest exponent prime factors of 7635 and 7642. First we will calculate the prime factors of 7635 and 7642.

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 7642


2 7642
3821 3821
1

Prime factors of 7642 are 2,3821. Prime factorization of 7642 in exponential form is:

7642 = 21×38211

Now multiplying the highest exponent prime factors to calculate the LCM of 7635 and 7642.

LCM(7635,7642) = 21×31×51×5091×38211
LCM(7635,7642) = 58346670

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 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1, 2, 3821, 7642

Least Common Multiple of 7635 and 7642 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 7642, than apply into the LCM equation.

GCF(7635,7642) = 1
LCM(7635,7642) = ( 7635 × 7642) / 1
LCM(7635,7642) = 58346670 / 1
LCM(7635,7642) = 58346670

Properties of LCM 7635 and 7642

(i) The LCM of 7642 and 7635 is associative

LCM of 7635 and 7642 = LCM of 7642 and 7635

Related Least Common Multiples of 7635

Related Least Common Multiples of 7642

Frequently Asked Questions on LCM of 7635 and 7642

1. What is the LCM of 7635 and 7642?

Answer: LCM of 7635 and 7642 is 58346670.

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 7642?

Answer: Factors of 7642 are 1, 2, 3821, 7642. There are 4 integers that are factors of 7642. The greatest factor of 7642 is 7642.

4. How to Find the LCM of 7635 and 7642?

Answer:

Least Common Multiple of 7635 and 7642 = 58346670

Step 1: Find the prime factorization of 7635

7635 = 3 x 5 x 509

Step 2: Find the prime factorization of 7642

7642 = 2 x 3821

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

LCM = 58346670 = 2 x 3 x 5 x 509 x 3821

Step 4: Therefore, the least common multiple of 7635 and 7642 is 58346670.