Least Common Multiple of 664 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 664 and 666 the smallest integer that is 221112 that is divisible by both numbers.

Least Common Multiple (LCM) of 664 and 666 is 221112.

LCM(664,666) = 221112

LCM of 664 and 666

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

LCM of:
and

Least Common Multiple of 664 and 666

LCM of 664 and 666 is 221112

Least common multiple can be found by multiplying the highest exponent prime factors of 664 and 666. First we will calculate the prime factors of 664 and 666.

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 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 664 and 666.

LCM(664,666) = 23×32×371×831
LCM(664,666) = 221112

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 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 664 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 664 and 666, than apply into the LCM equation.

GCF(664,666) = 2
LCM(664,666) = ( 664 × 666) / 2
LCM(664,666) = 442224 / 2
LCM(664,666) = 221112

Properties of LCM 664 and 666

(i) The LCM of 666 and 664 is associative

LCM of 664 and 666 = LCM of 666 and 664

Related Least Common Multiples of 664

Related Least Common Multiples of 666

Frequently Asked Questions on LCM of 664 and 666

1. What is the LCM of 664 and 666?

Answer: LCM of 664 and 666 is 221112.

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 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 664 and 666?

Answer:

Least Common Multiple of 664 and 666 = 221112

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

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 = 221112 = 2 x 2 x 2 x 3 x 3 x 37 x 83

Step 4: Therefore, the least common multiple of 664 and 666 is 221112.