Least Common Multiple of 660 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 660 and 664 the smallest integer that is 109560 that is divisible by both numbers.

Least Common Multiple (LCM) of 660 and 664 is 109560.

LCM(660,664) = 109560

LCM of 660 and 664

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

LCM of:
and

Least Common Multiple of 660 and 664

LCM of 660 and 664 is 109560

Least common multiple can be found by multiplying the highest exponent prime factors of 660 and 664. First we will calculate the prime factors of 660 and 664.

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

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 660 and 664.

LCM(660,664) = 23×31×51×111×831
LCM(660,664) = 109560

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

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 660 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 660 and 664, than apply into the LCM equation.

GCF(660,664) = 4
LCM(660,664) = ( 660 × 664) / 4
LCM(660,664) = 438240 / 4
LCM(660,664) = 109560

Properties of LCM 660 and 664

(i) The LCM of 664 and 660 is associative

LCM of 660 and 664 = LCM of 664 and 660

Related Least Common Multiples of 660

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 660 and 664

1. What is the LCM of 660 and 664?

Answer: LCM of 660 and 664 is 109560.

2. 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.

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 660 and 664?

Answer:

Least Common Multiple of 660 and 664 = 109560

Step 1: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

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 = 109560 = 2 x 2 x 2 x 3 x 5 x 11 x 83

Step 4: Therefore, the least common multiple of 660 and 664 is 109560.