Least Common Multiple of 6673 and 6679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6673 and 6679 the smallest integer that is 44568967 that is divisible by both numbers.

Least Common Multiple (LCM) of 6673 and 6679 is 44568967.

LCM(6673,6679) = 44568967

LCM of 6673 and 6679

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

LCM of:
and

Least Common Multiple of 6673 and 6679

LCM of 6673 and 6679 is 44568967

Least common multiple can be found by multiplying the highest exponent prime factors of 6673 and 6679. First we will calculate the prime factors of 6673 and 6679.

Prime Factorization of 6673


6673 6673
1

Prime factors of 6673 are 6673. Prime factorization of 6673 in exponential form is:

6673 = 66731

Prime Factorization of 6679


6679 6679
1

Prime factors of 6679 are 6679. Prime factorization of 6679 in exponential form is:

6679 = 66791

Now multiplying the highest exponent prime factors to calculate the LCM of 6673 and 6679.

LCM(6673,6679) = 66731×66791
LCM(6673,6679) = 44568967

Factors of 6673

List of positive integer factors of 6673 that divides 6673 without a remainder.

1, 6673

Factors of 6679

List of positive integer factors of 6679 that divides 6679 without a remainder.

1, 6679

Least Common Multiple of 6673 and 6679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6673 and 6679, than apply into the LCM equation.

GCF(6673,6679) = 1
LCM(6673,6679) = ( 6673 × 6679) / 1
LCM(6673,6679) = 44568967 / 1
LCM(6673,6679) = 44568967

Properties of LCM 6673 and 6679

(i) The LCM of 6679 and 6673 is associative

LCM of 6673 and 6679 = LCM of 6679 and 6673

Related Least Common Multiples of 6673

Related Least Common Multiples of 6679

Frequently Asked Questions on LCM of 6673 and 6679

1. What is the LCM of 6673 and 6679?

Answer: LCM of 6673 and 6679 is 44568967.

2. What are the Factors of 6673?

Answer: Factors of 6673 are 1, 6673. There are 2 integers that are factors of 6673. The greatest factor of 6673 is 6673.

3. What are the Factors of 6679?

Answer: Factors of 6679 are 1, 6679. There are 2 integers that are factors of 6679. The greatest factor of 6679 is 6679.

4. How to Find the LCM of 6673 and 6679?

Answer:

Least Common Multiple of 6673 and 6679 = 44568967

Step 1: Find the prime factorization of 6673

6673 = 6673

Step 2: Find the prime factorization of 6679

6679 = 6679

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

LCM = 44568967 = 6673 x 6679

Step 4: Therefore, the least common multiple of 6673 and 6679 is 44568967.