Least Common Multiple of 660 and 666

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 666 the smallest integer that is 73260 that is divisible by both numbers.

Least Common Multiple (LCM) of 660 and 666 is 73260.

LCM(660,666) = 73260

LCM of 660 and 666

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

LCM of:
and

Least Common Multiple of 660 and 666

LCM of 660 and 666 is 73260

Least common multiple can be found by multiplying the highest exponent prime factors of 660 and 666. First we will calculate the prime factors of 660 and 666.

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 666


2 666
3 333
3 111
37 37
1

Prime factors of 666 are 2, 3,37. Prime factorization of 666 in exponential form is:

666 = 21×32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 660 and 666.

LCM(660,666) = 22×32×51×111×371
LCM(660,666) = 73260

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 666

List of positive integer factors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Least Common Multiple of 660 and 666 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 666, than apply into the LCM equation.

GCF(660,666) = 6
LCM(660,666) = ( 660 × 666) / 6
LCM(660,666) = 439560 / 6
LCM(660,666) = 73260

Properties of LCM 660 and 666

(i) The LCM of 666 and 660 is associative

LCM of 660 and 666 = LCM of 666 and 660

Related Least Common Multiples of 660

Related Least Common Multiples of 666

Frequently Asked Questions on LCM of 660 and 666

1. What is the LCM of 660 and 666?

Answer: LCM of 660 and 666 is 73260.

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 666?

Answer: Factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666. There are 12 integers that are factors of 666. The greatest factor of 666 is 666.

4. How to Find the LCM of 660 and 666?

Answer:

Least Common Multiple of 660 and 666 = 73260

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 666

666 = 2 x 3 x 3 x 37

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

LCM = 73260 = 2 x 2 x 3 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 660 and 666 is 73260.