Least Common Multiple of 660 and 667

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 667 the smallest integer that is 440220 that is divisible by both numbers.

Least Common Multiple (LCM) of 660 and 667 is 440220.

LCM(660,667) = 440220

LCM of 660 and 667

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

LCM of:
and

Least Common Multiple of 660 and 667

LCM of 660 and 667 is 440220

Least common multiple can be found by multiplying the highest exponent prime factors of 660 and 667. First we will calculate the prime factors of 660 and 667.

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 667


23 667
29 29
1

Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:

667 = 231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 660 and 667.

LCM(660,667) = 22×31×51×111×231×291
LCM(660,667) = 440220

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 667

List of positive integer factors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Least Common Multiple of 660 and 667 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 667, than apply into the LCM equation.

GCF(660,667) = 1
LCM(660,667) = ( 660 × 667) / 1
LCM(660,667) = 440220 / 1
LCM(660,667) = 440220

Properties of LCM 660 and 667

(i) The LCM of 667 and 660 is associative

LCM of 660 and 667 = LCM of 667 and 660

Related Least Common Multiples of 660

Related Least Common Multiples of 667

Frequently Asked Questions on LCM of 660 and 667

1. What is the LCM of 660 and 667?

Answer: LCM of 660 and 667 is 440220.

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 667?

Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.

4. How to Find the LCM of 660 and 667?

Answer:

Least Common Multiple of 660 and 667 = 440220

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 667

667 = 23 x 29

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

LCM = 440220 = 2 x 2 x 3 x 5 x 11 x 23 x 29

Step 4: Therefore, the least common multiple of 660 and 667 is 440220.