Least Common Multiple of 672 and 673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 672 and 673 the smallest integer that is 452256 that is divisible by both numbers.

Least Common Multiple (LCM) of 672 and 673 is 452256.

LCM(672,673) = 452256

LCM of 672 and 673

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

LCM of:
and

Least Common Multiple of 672 and 673

LCM of 672 and 673 is 452256

Least common multiple can be found by multiplying the highest exponent prime factors of 672 and 673. First we will calculate the prime factors of 672 and 673.

Prime Factorization of 672


2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 672 are 2, 3,7. Prime factorization of 672 in exponential form is:

672 = 25×31×71

Prime Factorization of 673


673 673
1

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

673 = 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 672 and 673.

LCM(672,673) = 25×31×71×6731
LCM(672,673) = 452256

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Factors of 673

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

1, 673

Least Common Multiple of 672 and 673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 672 and 673, than apply into the LCM equation.

GCF(672,673) = 1
LCM(672,673) = ( 672 × 673) / 1
LCM(672,673) = 452256 / 1
LCM(672,673) = 452256

Properties of LCM 672 and 673

(i) The LCM of 673 and 672 is associative

LCM of 672 and 673 = LCM of 673 and 672

Related Least Common Multiples of 672

Related Least Common Multiples of 673

Frequently Asked Questions on LCM of 672 and 673

1. What is the LCM of 672 and 673?

Answer: LCM of 672 and 673 is 452256.

2. What are the Factors of 672?

Answer: Factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672. There are 24 integers that are factors of 672. The greatest factor of 672 is 672.

3. 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.

4. How to Find the LCM of 672 and 673?

Answer:

Least Common Multiple of 672 and 673 = 452256

Step 1: Find the prime factorization of 672

672 = 2 x 2 x 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 673

673 = 673

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

LCM = 452256 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 673

Step 4: Therefore, the least common multiple of 672 and 673 is 452256.