Least Common Multiple of 672 and 679

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 679 the smallest integer that is 65184 that is divisible by both numbers.

Least Common Multiple (LCM) of 672 and 679 is 65184.

LCM(672,679) = 65184

LCM of 672 and 679

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

LCM of:
and

Least Common Multiple of 672 and 679

LCM of 672 and 679 is 65184

Least common multiple can be found by multiplying the highest exponent prime factors of 672 and 679. First we will calculate the prime factors of 672 and 679.

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 679


7 679
97 97
1

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 672 and 679.

LCM(672,679) = 25×31×71×971
LCM(672,679) = 65184

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 679

List of positive integer factors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Least Common Multiple of 672 and 679 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 679, than apply into the LCM equation.

GCF(672,679) = 7
LCM(672,679) = ( 672 × 679) / 7
LCM(672,679) = 456288 / 7
LCM(672,679) = 65184

Properties of LCM 672 and 679

(i) The LCM of 679 and 672 is associative

LCM of 672 and 679 = LCM of 679 and 672

Related Least Common Multiples of 672

Related Least Common Multiples of 679

Frequently Asked Questions on LCM of 672 and 679

1. What is the LCM of 672 and 679?

Answer: LCM of 672 and 679 is 65184.

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 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

4. How to Find the LCM of 672 and 679?

Answer:

Least Common Multiple of 672 and 679 = 65184

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 679

679 = 7 x 97

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

LCM = 65184 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 97

Step 4: Therefore, the least common multiple of 672 and 679 is 65184.