Least Common Multiple of 659 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 659 and 664 the smallest integer that is 437576 that is divisible by both numbers.

Least Common Multiple (LCM) of 659 and 664 is 437576.

LCM(659,664) = 437576

LCM of 659 and 664

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

LCM of:
and

Least Common Multiple of 659 and 664

LCM of 659 and 664 is 437576

Least common multiple can be found by multiplying the highest exponent prime factors of 659 and 664. First we will calculate the prime factors of 659 and 664.

Prime Factorization of 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

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 659 and 664.

LCM(659,664) = 23×831×6591
LCM(659,664) = 437576

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1, 659

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 659 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 659 and 664, than apply into the LCM equation.

GCF(659,664) = 1
LCM(659,664) = ( 659 × 664) / 1
LCM(659,664) = 437576 / 1
LCM(659,664) = 437576

Properties of LCM 659 and 664

(i) The LCM of 664 and 659 is associative

LCM of 659 and 664 = LCM of 664 and 659

Related Least Common Multiples of 659

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 659 and 664

1. What is the LCM of 659 and 664?

Answer: LCM of 659 and 664 is 437576.

2. What are the Factors of 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

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 659 and 664?

Answer:

Least Common Multiple of 659 and 664 = 437576

Step 1: Find the prime factorization of 659

659 = 659

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 = 437576 = 2 x 2 x 2 x 83 x 659

Step 4: Therefore, the least common multiple of 659 and 664 is 437576.