Least Common Multiple of 658 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 658 and 664 the smallest integer that is 218456 that is divisible by both numbers.

Least Common Multiple (LCM) of 658 and 664 is 218456.

LCM(658,664) = 218456

LCM of 658 and 664

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

LCM of:
and

Least Common Multiple of 658 and 664

LCM of 658 and 664 is 218456

Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 664. First we will calculate the prime factors of 658 and 664.

Prime Factorization of 658


2 658
7 329
47 47
1

Prime factors of 658 are 2, 7,47. Prime factorization of 658 in exponential form is:

658 = 21×71×471

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 658 and 664.

LCM(658,664) = 23×71×471×831
LCM(658,664) = 218456

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 658 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 658 and 664, than apply into the LCM equation.

GCF(658,664) = 2
LCM(658,664) = ( 658 × 664) / 2
LCM(658,664) = 436912 / 2
LCM(658,664) = 218456

Properties of LCM 658 and 664

(i) The LCM of 664 and 658 is associative

LCM of 658 and 664 = LCM of 664 and 658

Related Least Common Multiples of 658

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 658 and 664

1. What is the LCM of 658 and 664?

Answer: LCM of 658 and 664 is 218456.

2. What are the Factors of 658?

Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.

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 658 and 664?

Answer:

Least Common Multiple of 658 and 664 = 218456

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

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 = 218456 = 2 x 2 x 2 x 7 x 47 x 83

Step 4: Therefore, the least common multiple of 658 and 664 is 218456.