Least Common Multiple of 8635 and 8642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8635 and 8642 the smallest integer that is 74623670 that is divisible by both numbers.

Least Common Multiple (LCM) of 8635 and 8642 is 74623670.

LCM(8635,8642) = 74623670

LCM of 8635 and 8642

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

LCM of:
and

Least Common Multiple of 8635 and 8642

LCM of 8635 and 8642 is 74623670

Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8642. First we will calculate the prime factors of 8635 and 8642.

Prime Factorization of 8635


5 8635
11 1727
157 157
1

Prime factors of 8635 are 5, 11,157. Prime factorization of 8635 in exponential form is:

8635 = 51×111×1571

Prime Factorization of 8642


2 8642
29 4321
149 149
1

Prime factors of 8642 are 2, 29,149. Prime factorization of 8642 in exponential form is:

8642 = 21×291×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8642.

LCM(8635,8642) = 21×51×111×291×1491×1571
LCM(8635,8642) = 74623670

Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1, 5, 11, 55, 157, 785, 1727, 8635

Factors of 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1, 2, 29, 58, 149, 298, 4321, 8642

Least Common Multiple of 8635 and 8642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8642, than apply into the LCM equation.

GCF(8635,8642) = 1
LCM(8635,8642) = ( 8635 × 8642) / 1
LCM(8635,8642) = 74623670 / 1
LCM(8635,8642) = 74623670

Properties of LCM 8635 and 8642

(i) The LCM of 8642 and 8635 is associative

LCM of 8635 and 8642 = LCM of 8642 and 8635

Related Least Common Multiples of 8635

Related Least Common Multiples of 8642

Frequently Asked Questions on LCM of 8635 and 8642

1. What is the LCM of 8635 and 8642?

Answer: LCM of 8635 and 8642 is 74623670.

2. What are the Factors of 8635?

Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.

3. What are the Factors of 8642?

Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.

4. How to Find the LCM of 8635 and 8642?

Answer:

Least Common Multiple of 8635 and 8642 = 74623670

Step 1: Find the prime factorization of 8635

8635 = 5 x 11 x 157

Step 2: Find the prime factorization of 8642

8642 = 2 x 29 x 149

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

LCM = 74623670 = 2 x 5 x 11 x 29 x 149 x 157

Step 4: Therefore, the least common multiple of 8635 and 8642 is 74623670.