Least Common Multiple of 676 and 677

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 677 the smallest integer that is 457652 that is divisible by both numbers.

Least Common Multiple (LCM) of 676 and 677 is 457652.

LCM(676,677) = 457652

LCM of 676 and 677

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

LCM of:
and

Least Common Multiple of 676 and 677

LCM of 676 and 677 is 457652

Least common multiple can be found by multiplying the highest exponent prime factors of 676 and 677. First we will calculate the prime factors of 676 and 677.

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 677


677 677
1

Prime factors of 677 are 677. Prime factorization of 677 in exponential form is:

677 = 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 676 and 677.

LCM(676,677) = 22×132×6771
LCM(676,677) = 457652

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 677

List of positive integer factors of 677 that divides 677 without a remainder.

1, 677

Least Common Multiple of 676 and 677 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 677, than apply into the LCM equation.

GCF(676,677) = 1
LCM(676,677) = ( 676 × 677) / 1
LCM(676,677) = 457652 / 1
LCM(676,677) = 457652

Properties of LCM 676 and 677

(i) The LCM of 677 and 676 is associative

LCM of 676 and 677 = LCM of 677 and 676

Related Least Common Multiples of 676

Related Least Common Multiples of 677

Frequently Asked Questions on LCM of 676 and 677

1. What is the LCM of 676 and 677?

Answer: LCM of 676 and 677 is 457652.

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 677?

Answer: Factors of 677 are 1, 677. There are 2 integers that are factors of 677. The greatest factor of 677 is 677.

4. How to Find the LCM of 676 and 677?

Answer:

Least Common Multiple of 676 and 677 = 457652

Step 1: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 677

677 = 677

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

LCM = 457652 = 2 x 2 x 13 x 13 x 677

Step 4: Therefore, the least common multiple of 676 and 677 is 457652.