Least Common Multiple of 672 and 676

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 676 the smallest integer that is 113568 that is divisible by both numbers.

Least Common Multiple (LCM) of 672 and 676 is 113568.

LCM(672,676) = 113568

LCM of 672 and 676

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

LCM of:
and

Least Common Multiple of 672 and 676

LCM of 672 and 676 is 113568

Least common multiple can be found by multiplying the highest exponent prime factors of 672 and 676. First we will calculate the prime factors of 672 and 676.

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 676


2 676
2 338
13 169
13 13
1

Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:

676 = 22×132

Now multiplying the highest exponent prime factors to calculate the LCM of 672 and 676.

LCM(672,676) = 25×31×71×132
LCM(672,676) = 113568

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 676

List of positive integer factors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Least Common Multiple of 672 and 676 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 676, than apply into the LCM equation.

GCF(672,676) = 4
LCM(672,676) = ( 672 × 676) / 4
LCM(672,676) = 454272 / 4
LCM(672,676) = 113568

Properties of LCM 672 and 676

(i) The LCM of 676 and 672 is associative

LCM of 672 and 676 = LCM of 676 and 672

Related Least Common Multiples of 672

Related Least Common Multiples of 676

Frequently Asked Questions on LCM of 672 and 676

1. What is the LCM of 672 and 676?

Answer: LCM of 672 and 676 is 113568.

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 676?

Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.

4. How to Find the LCM of 672 and 676?

Answer:

Least Common Multiple of 672 and 676 = 113568

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 676

676 = 2 x 2 x 13 x 13

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

LCM = 113568 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 13

Step 4: Therefore, the least common multiple of 672 and 676 is 113568.