Least Common Multiple of 658 and 660

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 660 the smallest integer that is 217140 that is divisible by both numbers.

Least Common Multiple (LCM) of 658 and 660 is 217140.

LCM(658,660) = 217140

LCM of 658 and 660

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

LCM of:
and

Least Common Multiple of 658 and 660

LCM of 658 and 660 is 217140

Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 660. First we will calculate the prime factors of 658 and 660.

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 660


2 660
2 330
3 165
5 55
11 11
1

Prime factors of 660 are 2, 3, 5,11. Prime factorization of 660 in exponential form is:

660 = 22×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 658 and 660.

LCM(658,660) = 22×31×51×71×111×471
LCM(658,660) = 217140

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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Least Common Multiple of 658 and 660 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 660, than apply into the LCM equation.

GCF(658,660) = 2
LCM(658,660) = ( 658 × 660) / 2
LCM(658,660) = 434280 / 2
LCM(658,660) = 217140

Properties of LCM 658 and 660

(i) The LCM of 660 and 658 is associative

LCM of 658 and 660 = LCM of 660 and 658

Related Least Common Multiples of 658

Related Least Common Multiples of 660

Frequently Asked Questions on LCM of 658 and 660

1. What is the LCM of 658 and 660?

Answer: LCM of 658 and 660 is 217140.

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 660?

Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.

4. How to Find the LCM of 658 and 660?

Answer:

Least Common Multiple of 658 and 660 = 217140

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

Step 2: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

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

LCM = 217140 = 2 x 2 x 3 x 5 x 7 x 11 x 47

Step 4: Therefore, the least common multiple of 658 and 660 is 217140.