Least Common Multiple of 676 and 678

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 678 the smallest integer that is 229164 that is divisible by both numbers.

Least Common Multiple (LCM) of 676 and 678 is 229164.

LCM(676,678) = 229164

LCM of 676 and 678

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

LCM of:
and

Least Common Multiple of 676 and 678

LCM of 676 and 678 is 229164

Least common multiple can be found by multiplying the highest exponent prime factors of 676 and 678. First we will calculate the prime factors of 676 and 678.

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 678


2 678
3 339
113 113
1

Prime factors of 678 are 2, 3,113. Prime factorization of 678 in exponential form is:

678 = 21×31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 676 and 678.

LCM(676,678) = 22×31×132×1131
LCM(676,678) = 229164

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 678

List of positive integer factors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Least Common Multiple of 676 and 678 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 678, than apply into the LCM equation.

GCF(676,678) = 2
LCM(676,678) = ( 676 × 678) / 2
LCM(676,678) = 458328 / 2
LCM(676,678) = 229164

Properties of LCM 676 and 678

(i) The LCM of 678 and 676 is associative

LCM of 676 and 678 = LCM of 678 and 676

Related Least Common Multiples of 676

Related Least Common Multiples of 678

Frequently Asked Questions on LCM of 676 and 678

1. What is the LCM of 676 and 678?

Answer: LCM of 676 and 678 is 229164.

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 678?

Answer: Factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678. There are 8 integers that are factors of 678. The greatest factor of 678 is 678.

4. How to Find the LCM of 676 and 678?

Answer:

Least Common Multiple of 676 and 678 = 229164

Step 1: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 678

678 = 2 x 3 x 113

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

LCM = 229164 = 2 x 2 x 3 x 13 x 13 x 113

Step 4: Therefore, the least common multiple of 676 and 678 is 229164.