Least Common Multiple of 8628 and 8630

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 8630 the smallest integer that is 37229820 that is divisible by both numbers.

Least Common Multiple (LCM) of 8628 and 8630 is 37229820.

LCM(8628,8630) = 37229820

LCM of 8628 and 8630

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

LCM of:
and

Least Common Multiple of 8628 and 8630

LCM of 8628 and 8630 is 37229820

Least common multiple can be found by multiplying the highest exponent prime factors of 8628 and 8630. First we will calculate the prime factors of 8628 and 8630.

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 8630


2 8630
5 4315
863 863
1

Prime factors of 8630 are 2, 5,863. Prime factorization of 8630 in exponential form is:

8630 = 21×51×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 8628 and 8630.

LCM(8628,8630) = 22×31×51×7191×8631
LCM(8628,8630) = 37229820

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 8630

List of positive integer factors of 8630 that divides 8630 without a remainder.

1, 2, 5, 10, 863, 1726, 4315, 8630

Least Common Multiple of 8628 and 8630 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 8630, than apply into the LCM equation.

GCF(8628,8630) = 2
LCM(8628,8630) = ( 8628 × 8630) / 2
LCM(8628,8630) = 74459640 / 2
LCM(8628,8630) = 37229820

Properties of LCM 8628 and 8630

(i) The LCM of 8630 and 8628 is associative

LCM of 8628 and 8630 = LCM of 8630 and 8628

Related Least Common Multiples of 8628

Related Least Common Multiples of 8630

Frequently Asked Questions on LCM of 8628 and 8630

1. What is the LCM of 8628 and 8630?

Answer: LCM of 8628 and 8630 is 37229820.

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 8630?

Answer: Factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630. There are 8 integers that are factors of 8630. The greatest factor of 8630 is 8630.

4. How to Find the LCM of 8628 and 8630?

Answer:

Least Common Multiple of 8628 and 8630 = 37229820

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

Step 2: Find the prime factorization of 8630

8630 = 2 x 5 x 863

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

LCM = 37229820 = 2 x 2 x 3 x 5 x 719 x 863

Step 4: Therefore, the least common multiple of 8628 and 8630 is 37229820.