Least Common Multiple of 668 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 668 and 676 the smallest integer that is 112892 that is divisible by both numbers.

Least Common Multiple (LCM) of 668 and 676 is 112892.

LCM(668,676) = 112892

LCM of 668 and 676

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

LCM of:
and

Least Common Multiple of 668 and 676

LCM of 668 and 676 is 112892

Least common multiple can be found by multiplying the highest exponent prime factors of 668 and 676. First we will calculate the prime factors of 668 and 676.

Prime Factorization of 668


2 668
2 334
167 167
1

Prime factors of 668 are 2,167. Prime factorization of 668 in exponential form is:

668 = 22×1671

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 668 and 676.

LCM(668,676) = 22×132×1671
LCM(668,676) = 112892

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

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 668 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 668 and 676, than apply into the LCM equation.

GCF(668,676) = 4
LCM(668,676) = ( 668 × 676) / 4
LCM(668,676) = 451568 / 4
LCM(668,676) = 112892

Properties of LCM 668 and 676

(i) The LCM of 676 and 668 is associative

LCM of 668 and 676 = LCM of 676 and 668

Related Least Common Multiples of 668

Related Least Common Multiples of 676

Frequently Asked Questions on LCM of 668 and 676

1. What is the LCM of 668 and 676?

Answer: LCM of 668 and 676 is 112892.

2. What are the Factors of 668?

Answer: Factors of 668 are 1, 2, 4, 167, 334, 668. There are 6 integers that are factors of 668. The greatest factor of 668 is 668.

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 668 and 676?

Answer:

Least Common Multiple of 668 and 676 = 112892

Step 1: Find the prime factorization of 668

668 = 2 x 2 x 167

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 = 112892 = 2 x 2 x 13 x 13 x 167

Step 4: Therefore, the least common multiple of 668 and 676 is 112892.