Least Common Multiple of 657 and 664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 657 and 664 the smallest integer that is 436248 that is divisible by both numbers.

Least Common Multiple (LCM) of 657 and 664 is 436248.

LCM(657,664) = 436248

LCM of 657 and 664

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

LCM of:
and

Least Common Multiple of 657 and 664

LCM of 657 and 664 is 436248

Least common multiple can be found by multiplying the highest exponent prime factors of 657 and 664. First we will calculate the prime factors of 657 and 664.

Prime Factorization of 657


3 657
3 219
73 73
1

Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:

657 = 32×731

Prime Factorization of 664


2 664
2 332
2 166
83 83
1

Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:

664 = 23×831

Now multiplying the highest exponent prime factors to calculate the LCM of 657 and 664.

LCM(657,664) = 23×32×731×831
LCM(657,664) = 436248

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Least Common Multiple of 657 and 664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 657 and 664, than apply into the LCM equation.

GCF(657,664) = 1
LCM(657,664) = ( 657 × 664) / 1
LCM(657,664) = 436248 / 1
LCM(657,664) = 436248

Properties of LCM 657 and 664

(i) The LCM of 664 and 657 is associative

LCM of 657 and 664 = LCM of 664 and 657

Related Least Common Multiples of 657

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 657 and 664

1. What is the LCM of 657 and 664?

Answer: LCM of 657 and 664 is 436248.

2. What are the Factors of 657?

Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.

3. What are the Factors of 664?

Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.

4. How to Find the LCM of 657 and 664?

Answer:

Least Common Multiple of 657 and 664 = 436248

Step 1: Find the prime factorization of 657

657 = 3 x 3 x 73

Step 2: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

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

LCM = 436248 = 2 x 2 x 2 x 3 x 3 x 73 x 83

Step 4: Therefore, the least common multiple of 657 and 664 is 436248.