Least Common Multiple of 675 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 675 and 677 the smallest integer that is 456975 that is divisible by both numbers.

Least Common Multiple (LCM) of 675 and 677 is 456975.

LCM(675,677) = 456975

LCM of 675 and 677

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

LCM of:
and

Least Common Multiple of 675 and 677

LCM of 675 and 677 is 456975

Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 677. First we will calculate the prime factors of 675 and 677.

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 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 675 and 677.

LCM(675,677) = 33×52×6771
LCM(675,677) = 456975

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 677

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

1, 677

Least Common Multiple of 675 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 675 and 677, than apply into the LCM equation.

GCF(675,677) = 1
LCM(675,677) = ( 675 × 677) / 1
LCM(675,677) = 456975 / 1
LCM(675,677) = 456975

Properties of LCM 675 and 677

(i) The LCM of 677 and 675 is associative

LCM of 675 and 677 = LCM of 677 and 675

Related Least Common Multiples of 675

Related Least Common Multiples of 677

Frequently Asked Questions on LCM of 675 and 677

1. What is the LCM of 675 and 677?

Answer: LCM of 675 and 677 is 456975.

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 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 675 and 677?

Answer:

Least Common Multiple of 675 and 677 = 456975

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 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 = 456975 = 3 x 3 x 3 x 5 x 5 x 677

Step 4: Therefore, the least common multiple of 675 and 677 is 456975.