Least Common Multiple of 664 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 664 and 667 the smallest integer that is 442888 that is divisible by both numbers.

Least Common Multiple (LCM) of 664 and 667 is 442888.

LCM(664,667) = 442888

LCM of 664 and 667

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

LCM of:
and

Least Common Multiple of 664 and 667

LCM of 664 and 667 is 442888

Least common multiple can be found by multiplying the highest exponent prime factors of 664 and 667. First we will calculate the prime factors of 664 and 667.

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

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 664 and 667.

LCM(664,667) = 23×231×291×831
LCM(664,667) = 442888

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Factors of 667

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

1, 23, 29, 667

Least Common Multiple of 664 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 664 and 667, than apply into the LCM equation.

GCF(664,667) = 1
LCM(664,667) = ( 664 × 667) / 1
LCM(664,667) = 442888 / 1
LCM(664,667) = 442888

Properties of LCM 664 and 667

(i) The LCM of 667 and 664 is associative

LCM of 664 and 667 = LCM of 667 and 664

Related Least Common Multiples of 664

Related Least Common Multiples of 667

Frequently Asked Questions on LCM of 664 and 667

1. What is the LCM of 664 and 667?

Answer: LCM of 664 and 667 is 442888.

2. 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.

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 664 and 667?

Answer:

Least Common Multiple of 664 and 667 = 442888

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

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 = 442888 = 2 x 2 x 2 x 23 x 29 x 83

Step 4: Therefore, the least common multiple of 664 and 667 is 442888.