Least Common Multiple of 672 and 675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 672 and 675 the smallest integer that is 151200 that is divisible by both numbers.

Least Common Multiple (LCM) of 672 and 675 is 151200.

LCM(672,675) = 151200

LCM of 672 and 675

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

LCM of:
and

Least Common Multiple of 672 and 675

LCM of 672 and 675 is 151200

Least common multiple can be found by multiplying the highest exponent prime factors of 672 and 675. First we will calculate the prime factors of 672 and 675.

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

Prime Factorization of 675


3 675
3 225
3 75
5 25
5 5
1

Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:

675 = 33×52

Now multiplying the highest exponent prime factors to calculate the LCM of 672 and 675.

LCM(672,675) = 25×33×52×71
LCM(672,675) = 151200

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

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Least Common Multiple of 672 and 675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 672 and 675, than apply into the LCM equation.

GCF(672,675) = 3
LCM(672,675) = ( 672 × 675) / 3
LCM(672,675) = 453600 / 3
LCM(672,675) = 151200

Properties of LCM 672 and 675

(i) The LCM of 675 and 672 is associative

LCM of 672 and 675 = LCM of 675 and 672

Related Least Common Multiples of 672

Related Least Common Multiples of 675

Frequently Asked Questions on LCM of 672 and 675

1. What is the LCM of 672 and 675?

Answer: LCM of 672 and 675 is 151200.

2. 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.

3. What are the Factors of 675?

Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.

4. How to Find the LCM of 672 and 675?

Answer:

Least Common Multiple of 672 and 675 = 151200

Step 1: Find the prime factorization of 672

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

Step 2: Find the prime factorization of 675

675 = 3 x 3 x 3 x 5 x 5

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

LCM = 151200 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7

Step 4: Therefore, the least common multiple of 672 and 675 is 151200.