Least Common Multiple of 666 and 672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 666 and 672 the smallest integer that is 74592 that is divisible by both numbers.

Least Common Multiple (LCM) of 666 and 672 is 74592.

LCM(666,672) = 74592

LCM of 666 and 672

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

LCM of:
and

Least Common Multiple of 666 and 672

LCM of 666 and 672 is 74592

Least common multiple can be found by multiplying the highest exponent prime factors of 666 and 672. First we will calculate the prime factors of 666 and 672.

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

Prime Factorization of 672


2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 672 are 2, 3,7. Prime factorization of 672 in exponential form is:

672 = 25×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 666 and 672.

LCM(666,672) = 25×32×71×371
LCM(666,672) = 74592

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

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Least Common Multiple of 666 and 672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 666 and 672, than apply into the LCM equation.

GCF(666,672) = 6
LCM(666,672) = ( 666 × 672) / 6
LCM(666,672) = 447552 / 6
LCM(666,672) = 74592

Properties of LCM 666 and 672

(i) The LCM of 672 and 666 is associative

LCM of 666 and 672 = LCM of 672 and 666

Related Least Common Multiples of 666

Related Least Common Multiples of 672

Frequently Asked Questions on LCM of 666 and 672

1. What is the LCM of 666 and 672?

Answer: LCM of 666 and 672 is 74592.

2. 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.

3. What are the Factors of 672?

Answer: Factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672. There are 24 integers that are factors of 672. The greatest factor of 672 is 672.

4. How to Find the LCM of 666 and 672?

Answer:

Least Common Multiple of 666 and 672 = 74592

Step 1: Find the prime factorization of 666

666 = 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 672

672 = 2 x 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 74592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 37

Step 4: Therefore, the least common multiple of 666 and 672 is 74592.