Least Common Multiple of 667 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 667 and 672 the smallest integer that is 448224 that is divisible by both numbers.

Least Common Multiple (LCM) of 667 and 672 is 448224.

LCM(667,672) = 448224

LCM of 667 and 672

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

LCM of:
and

Least Common Multiple of 667 and 672

LCM of 667 and 672 is 448224

Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 672. First we will calculate the prime factors of 667 and 672.

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

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 667 and 672.

LCM(667,672) = 25×31×71×231×291
LCM(667,672) = 448224

Factors of 667

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

1, 23, 29, 667

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 667 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 667 and 672, than apply into the LCM equation.

GCF(667,672) = 1
LCM(667,672) = ( 667 × 672) / 1
LCM(667,672) = 448224 / 1
LCM(667,672) = 448224

Properties of LCM 667 and 672

(i) The LCM of 672 and 667 is associative

LCM of 667 and 672 = LCM of 672 and 667

Related Least Common Multiples of 667

Related Least Common Multiples of 672

Frequently Asked Questions on LCM of 667 and 672

1. What is the LCM of 667 and 672?

Answer: LCM of 667 and 672 is 448224.

2. 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.

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 667 and 672?

Answer:

Least Common Multiple of 667 and 672 = 448224

Step 1: Find the prime factorization of 667

667 = 23 x 29

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 = 448224 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 23 x 29

Step 4: Therefore, the least common multiple of 667 and 672 is 448224.