Least Common Multiple of 660 and 668

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 668 the smallest integer that is 110220 that is divisible by both numbers.

Least Common Multiple (LCM) of 660 and 668 is 110220.

LCM(660,668) = 110220

LCM of 660 and 668

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

LCM of:
and

Least Common Multiple of 660 and 668

LCM of 660 and 668 is 110220

Least common multiple can be found by multiplying the highest exponent prime factors of 660 and 668. First we will calculate the prime factors of 660 and 668.

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 668


2 668
2 334
167 167
1

Prime factors of 668 are 2,167. Prime factorization of 668 in exponential form is:

668 = 22×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 660 and 668.

LCM(660,668) = 22×31×51×111×1671
LCM(660,668) = 110220

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 668

List of positive integer factors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Least Common Multiple of 660 and 668 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 668, than apply into the LCM equation.

GCF(660,668) = 4
LCM(660,668) = ( 660 × 668) / 4
LCM(660,668) = 440880 / 4
LCM(660,668) = 110220

Properties of LCM 660 and 668

(i) The LCM of 668 and 660 is associative

LCM of 660 and 668 = LCM of 668 and 660

Related Least Common Multiples of 660

Related Least Common Multiples of 668

Frequently Asked Questions on LCM of 660 and 668

1. What is the LCM of 660 and 668?

Answer: LCM of 660 and 668 is 110220.

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 668?

Answer: Factors of 668 are 1, 2, 4, 167, 334, 668. There are 6 integers that are factors of 668. The greatest factor of 668 is 668.

4. How to Find the LCM of 660 and 668?

Answer:

Least Common Multiple of 660 and 668 = 110220

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 668

668 = 2 x 2 x 167

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

LCM = 110220 = 2 x 2 x 3 x 5 x 11 x 167

Step 4: Therefore, the least common multiple of 660 and 668 is 110220.