Least Common Multiple of 673 and 675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 673 and 675 the smallest integer that is 454275 that is divisible by both numbers.

Least Common Multiple (LCM) of 673 and 675 is 454275.

LCM(673,675) = 454275

LCM of 673 and 675

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

LCM of:
and

Least Common Multiple of 673 and 675

LCM of 673 and 675 is 454275

Least common multiple can be found by multiplying the highest exponent prime factors of 673 and 675. First we will calculate the prime factors of 673 and 675.

Prime Factorization of 673


673 673
1

Prime factors of 673 are 673. Prime factorization of 673 in exponential form is:

673 = 6731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 673 and 675.

LCM(673,675) = 33×52×6731
LCM(673,675) = 454275

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1, 673

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

Least Common Multiple of 673 and 675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 673 and 675, than apply into the LCM equation.

GCF(673,675) = 1
LCM(673,675) = ( 673 × 675) / 1
LCM(673,675) = 454275 / 1
LCM(673,675) = 454275

Properties of LCM 673 and 675

(i) The LCM of 675 and 673 is associative

LCM of 673 and 675 = LCM of 675 and 673

Related Least Common Multiples of 673

Related Least Common Multiples of 675

Frequently Asked Questions on LCM of 673 and 675

1. What is the LCM of 673 and 675?

Answer: LCM of 673 and 675 is 454275.

2. What are the Factors of 673?

Answer: Factors of 673 are 1, 673. There are 2 integers that are factors of 673. The greatest factor of 673 is 673.

3. 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.

4. How to Find the LCM of 673 and 675?

Answer:

Least Common Multiple of 673 and 675 = 454275

Step 1: Find the prime factorization of 673

673 = 673

Step 2: Find the prime factorization of 675

675 = 3 x 3 x 3 x 5 x 5

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

LCM = 454275 = 3 x 3 x 3 x 5 x 5 x 673

Step 4: Therefore, the least common multiple of 673 and 675 is 454275.