Least Common Multiple of 8628 and 8636

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 8636 the smallest integer that is 18627852 that is divisible by both numbers.

Least Common Multiple (LCM) of 8628 and 8636 is 18627852.

LCM(8628,8636) = 18627852

LCM of 8628 and 8636

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

LCM of:
and

Least Common Multiple of 8628 and 8636

LCM of 8628 and 8636 is 18627852

Least common multiple can be found by multiplying the highest exponent prime factors of 8628 and 8636. First we will calculate the prime factors of 8628 and 8636.

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 8636


2 8636
2 4318
17 2159
127 127
1

Prime factors of 8636 are 2, 17,127. Prime factorization of 8636 in exponential form is:

8636 = 22×171×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8628 and 8636.

LCM(8628,8636) = 22×31×171×1271×7191
LCM(8628,8636) = 18627852

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 8636

List of positive integer factors of 8636 that divides 8636 without a remainder.

1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636

Least Common Multiple of 8628 and 8636 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 8636, than apply into the LCM equation.

GCF(8628,8636) = 4
LCM(8628,8636) = ( 8628 × 8636) / 4
LCM(8628,8636) = 74511408 / 4
LCM(8628,8636) = 18627852

Properties of LCM 8628 and 8636

(i) The LCM of 8636 and 8628 is associative

LCM of 8628 and 8636 = LCM of 8636 and 8628

Related Least Common Multiples of 8628

Related Least Common Multiples of 8636

Frequently Asked Questions on LCM of 8628 and 8636

1. What is the LCM of 8628 and 8636?

Answer: LCM of 8628 and 8636 is 18627852.

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 8636?

Answer: Factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636. There are 12 integers that are factors of 8636. The greatest factor of 8636 is 8636.

4. How to Find the LCM of 8628 and 8636?

Answer:

Least Common Multiple of 8628 and 8636 = 18627852

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

Step 2: Find the prime factorization of 8636

8636 = 2 x 2 x 17 x 127

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

LCM = 18627852 = 2 x 2 x 3 x 17 x 127 x 719

Step 4: Therefore, the least common multiple of 8628 and 8636 is 18627852.