Least Common Multiple of 667 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 667 and 673 the smallest integer that is 448891 that is divisible by both numbers.

Least Common Multiple (LCM) of 667 and 673 is 448891.

LCM(667,673) = 448891

LCM of 667 and 673

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

LCM of:
and

Least Common Multiple of 667 and 673

LCM of 667 and 673 is 448891

Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 673. First we will calculate the prime factors of 667 and 673.

Prime Factorization of 667


23 667
29 29
1

Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:

667 = 231×291

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 667 and 673.

LCM(667,673) = 231×291×6731
LCM(667,673) = 448891

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Factors of 673

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

1, 673

Least Common Multiple of 667 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 667 and 673, than apply into the LCM equation.

GCF(667,673) = 1
LCM(667,673) = ( 667 × 673) / 1
LCM(667,673) = 448891 / 1
LCM(667,673) = 448891

Properties of LCM 667 and 673

(i) The LCM of 673 and 667 is associative

LCM of 667 and 673 = LCM of 673 and 667

Related Least Common Multiples of 667

Related Least Common Multiples of 673

Frequently Asked Questions on LCM of 667 and 673

1. What is the LCM of 667 and 673?

Answer: LCM of 667 and 673 is 448891.

2. What are the Factors of 667?

Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.

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 667 and 673?

Answer:

Least Common Multiple of 667 and 673 = 448891

Step 1: Find the prime factorization of 667

667 = 23 x 29

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 = 448891 = 23 x 29 x 673

Step 4: Therefore, the least common multiple of 667 and 673 is 448891.