Least Common Multiple of 8657 and 8664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8657 and 8664 the smallest integer that is 75004248 that is divisible by both numbers.

Least Common Multiple (LCM) of 8657 and 8664 is 75004248.

LCM(8657,8664) = 75004248

LCM of 8657 and 8664

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

LCM of:
and

Least Common Multiple of 8657 and 8664

LCM of 8657 and 8664 is 75004248

Least common multiple can be found by multiplying the highest exponent prime factors of 8657 and 8664. First we will calculate the prime factors of 8657 and 8664.

Prime Factorization of 8657


11 8657
787 787
1

Prime factors of 8657 are 11,787. Prime factorization of 8657 in exponential form is:

8657 = 111×7871

Prime Factorization of 8664


2 8664
2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 8664 are 2, 3,19. Prime factorization of 8664 in exponential form is:

8664 = 23×31×192

Now multiplying the highest exponent prime factors to calculate the LCM of 8657 and 8664.

LCM(8657,8664) = 23×31×111×192×7871
LCM(8657,8664) = 75004248

Factors of 8657

List of positive integer factors of 8657 that divides 8657 without a remainder.

1, 11, 787, 8657

Factors of 8664

List of positive integer factors of 8664 that divides 8664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664

Least Common Multiple of 8657 and 8664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8657 and 8664, than apply into the LCM equation.

GCF(8657,8664) = 1
LCM(8657,8664) = ( 8657 × 8664) / 1
LCM(8657,8664) = 75004248 / 1
LCM(8657,8664) = 75004248

Properties of LCM 8657 and 8664

(i) The LCM of 8664 and 8657 is associative

LCM of 8657 and 8664 = LCM of 8664 and 8657

Related Least Common Multiples of 8657

Related Least Common Multiples of 8664

Frequently Asked Questions on LCM of 8657 and 8664

1. What is the LCM of 8657 and 8664?

Answer: LCM of 8657 and 8664 is 75004248.

2. What are the Factors of 8657?

Answer: Factors of 8657 are 1, 11, 787, 8657. There are 4 integers that are factors of 8657. The greatest factor of 8657 is 8657.

3. What are the Factors of 8664?

Answer: Factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664. There are 24 integers that are factors of 8664. The greatest factor of 8664 is 8664.

4. How to Find the LCM of 8657 and 8664?

Answer:

Least Common Multiple of 8657 and 8664 = 75004248

Step 1: Find the prime factorization of 8657

8657 = 11 x 787

Step 2: Find the prime factorization of 8664

8664 = 2 x 2 x 2 x 3 x 19 x 19

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

LCM = 75004248 = 2 x 2 x 2 x 3 x 11 x 19 x 19 x 787

Step 4: Therefore, the least common multiple of 8657 and 8664 is 75004248.