Least Common Multiple of 675 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 675 and 676 the smallest integer that is 456300 that is divisible by both numbers.

Least Common Multiple (LCM) of 675 and 676 is 456300.

LCM(675,676) = 456300

LCM of 675 and 676

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

LCM of:
and

Least Common Multiple of 675 and 676

LCM of 675 and 676 is 456300

Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 676. First we will calculate the prime factors of 675 and 676.

Prime Factorization of 675


3 675
3 225
3 75
5 25
5 5
1

Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:

675 = 33×52

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 675 and 676.

LCM(675,676) = 22×33×52×132
LCM(675,676) = 456300

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 675 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 675 and 676, than apply into the LCM equation.

GCF(675,676) = 1
LCM(675,676) = ( 675 × 676) / 1
LCM(675,676) = 456300 / 1
LCM(675,676) = 456300

Properties of LCM 675 and 676

(i) The LCM of 676 and 675 is associative

LCM of 675 and 676 = LCM of 676 and 675

Related Least Common Multiples of 675

Related Least Common Multiples of 676

Frequently Asked Questions on LCM of 675 and 676

1. What is the LCM of 675 and 676?

Answer: LCM of 675 and 676 is 456300.

2. What are the Factors of 675?

Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.

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 675 and 676?

Answer:

Least Common Multiple of 675 and 676 = 456300

Step 1: Find the prime factorization of 675

675 = 3 x 3 x 3 x 5 x 5

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 = 456300 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 13

Step 4: Therefore, the least common multiple of 675 and 676 is 456300.