Least Common Multiple of 8628 and 8635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8628 and 8635 the smallest integer that is 74502780 that is divisible by both numbers.

Least Common Multiple (LCM) of 8628 and 8635 is 74502780.

LCM(8628,8635) = 74502780

LCM of 8628 and 8635

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

LCM of:
and

Least Common Multiple of 8628 and 8635

LCM of 8628 and 8635 is 74502780

Least common multiple can be found by multiplying the highest exponent prime factors of 8628 and 8635. First we will calculate the prime factors of 8628 and 8635.

Prime Factorization of 8628


2 8628
2 4314
3 2157
719 719
1

Prime factors of 8628 are 2, 3,719. Prime factorization of 8628 in exponential form is:

8628 = 22×31×7191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8628 and 8635.

LCM(8628,8635) = 22×31×51×111×1571×7191
LCM(8628,8635) = 74502780

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628

Factors of 8635

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

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

Least Common Multiple of 8628 and 8635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8628 and 8635, than apply into the LCM equation.

GCF(8628,8635) = 1
LCM(8628,8635) = ( 8628 × 8635) / 1
LCM(8628,8635) = 74502780 / 1
LCM(8628,8635) = 74502780

Properties of LCM 8628 and 8635

(i) The LCM of 8635 and 8628 is associative

LCM of 8628 and 8635 = LCM of 8635 and 8628

Related Least Common Multiples of 8628

Related Least Common Multiples of 8635

Frequently Asked Questions on LCM of 8628 and 8635

1. What is the LCM of 8628 and 8635?

Answer: LCM of 8628 and 8635 is 74502780.

2. What are the Factors of 8628?

Answer: Factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628. There are 12 integers that are factors of 8628. The greatest factor of 8628 is 8628.

3. 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.

4. How to Find the LCM of 8628 and 8635?

Answer:

Least Common Multiple of 8628 and 8635 = 74502780

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

Step 2: Find the prime factorization of 8635

8635 = 5 x 11 x 157

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

LCM = 74502780 = 2 x 2 x 3 x 5 x 11 x 157 x 719

Step 4: Therefore, the least common multiple of 8628 and 8635 is 74502780.