Least Common Multiple of 654 and 658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 654 and 658 the smallest integer that is 215166 that is divisible by both numbers.

Least Common Multiple (LCM) of 654 and 658 is 215166.

LCM(654,658) = 215166

LCM of 654 and 658

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

LCM of:
and

Least Common Multiple of 654 and 658

LCM of 654 and 658 is 215166

Least common multiple can be found by multiplying the highest exponent prime factors of 654 and 658. First we will calculate the prime factors of 654 and 658.

Prime Factorization of 654


2 654
3 327
109 109
1

Prime factors of 654 are 2, 3,109. Prime factorization of 654 in exponential form is:

654 = 21×31×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 654 and 658.

LCM(654,658) = 21×31×71×471×1091
LCM(654,658) = 215166

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Factors of 658

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

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

Least Common Multiple of 654 and 658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 654 and 658, than apply into the LCM equation.

GCF(654,658) = 2
LCM(654,658) = ( 654 × 658) / 2
LCM(654,658) = 430332 / 2
LCM(654,658) = 215166

Properties of LCM 654 and 658

(i) The LCM of 658 and 654 is associative

LCM of 654 and 658 = LCM of 658 and 654

Related Least Common Multiples of 654

Related Least Common Multiples of 658

Frequently Asked Questions on LCM of 654 and 658

1. What is the LCM of 654 and 658?

Answer: LCM of 654 and 658 is 215166.

2. What are the Factors of 654?

Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.

3. 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.

4. How to Find the LCM of 654 and 658?

Answer:

Least Common Multiple of 654 and 658 = 215166

Step 1: Find the prime factorization of 654

654 = 2 x 3 x 109

Step 2: Find the prime factorization of 658

658 = 2 x 7 x 47

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

LCM = 215166 = 2 x 3 x 7 x 47 x 109

Step 4: Therefore, the least common multiple of 654 and 658 is 215166.