Least Common Multiple of 8628 and 8634

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 8634 the smallest integer that is 12415692 that is divisible by both numbers.

Least Common Multiple (LCM) of 8628 and 8634 is 12415692.

LCM(8628,8634) = 12415692

LCM of 8628 and 8634

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

LCM of:
and

Least Common Multiple of 8628 and 8634

LCM of 8628 and 8634 is 12415692

Least common multiple can be found by multiplying the highest exponent prime factors of 8628 and 8634. First we will calculate the prime factors of 8628 and 8634.

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 8634


2 8634
3 4317
1439 1439
1

Prime factors of 8634 are 2, 3,1439. Prime factorization of 8634 in exponential form is:

8634 = 21×31×14391

Now multiplying the highest exponent prime factors to calculate the LCM of 8628 and 8634.

LCM(8628,8634) = 22×31×7191×14391
LCM(8628,8634) = 12415692

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 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1, 2, 3, 6, 1439, 2878, 4317, 8634

Least Common Multiple of 8628 and 8634 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 8634, than apply into the LCM equation.

GCF(8628,8634) = 6
LCM(8628,8634) = ( 8628 × 8634) / 6
LCM(8628,8634) = 74494152 / 6
LCM(8628,8634) = 12415692

Properties of LCM 8628 and 8634

(i) The LCM of 8634 and 8628 is associative

LCM of 8628 and 8634 = LCM of 8634 and 8628

Related Least Common Multiples of 8628

Related Least Common Multiples of 8634

Frequently Asked Questions on LCM of 8628 and 8634

1. What is the LCM of 8628 and 8634?

Answer: LCM of 8628 and 8634 is 12415692.

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 8634?

Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.

4. How to Find the LCM of 8628 and 8634?

Answer:

Least Common Multiple of 8628 and 8634 = 12415692

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

Step 2: Find the prime factorization of 8634

8634 = 2 x 3 x 1439

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

LCM = 12415692 = 2 x 2 x 3 x 719 x 1439

Step 4: Therefore, the least common multiple of 8628 and 8634 is 12415692.