Least Common Multiple of 676 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 676 and 679 the smallest integer that is 459004 that is divisible by both numbers.

Least Common Multiple (LCM) of 676 and 679 is 459004.

LCM(676,679) = 459004

LCM of 676 and 679

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

LCM of:
and

Least Common Multiple of 676 and 679

LCM of 676 and 679 is 459004

Least common multiple can be found by multiplying the highest exponent prime factors of 676 and 679. First we will calculate the prime factors of 676 and 679.

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

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 676 and 679.

LCM(676,679) = 22×71×132×971
LCM(676,679) = 459004

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

Factors of 679

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

1, 7, 97, 679

Least Common Multiple of 676 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 676 and 679, than apply into the LCM equation.

GCF(676,679) = 1
LCM(676,679) = ( 676 × 679) / 1
LCM(676,679) = 459004 / 1
LCM(676,679) = 459004

Properties of LCM 676 and 679

(i) The LCM of 679 and 676 is associative

LCM of 676 and 679 = LCM of 679 and 676

Related Least Common Multiples of 676

Related Least Common Multiples of 679

Frequently Asked Questions on LCM of 676 and 679

1. What is the LCM of 676 and 679?

Answer: LCM of 676 and 679 is 459004.

2. 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.

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 676 and 679?

Answer:

Least Common Multiple of 676 and 679 = 459004

Step 1: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

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 = 459004 = 2 x 2 x 7 x 13 x 13 x 97

Step 4: Therefore, the least common multiple of 676 and 679 is 459004.