Least Common Multiple of 6673 and 6680

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 6680 the smallest integer that is 44575640 that is divisible by both numbers.

Least Common Multiple (LCM) of 6673 and 6680 is 44575640.

LCM(6673,6680) = 44575640

LCM of 6673 and 6680

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

LCM of:
and

Least Common Multiple of 6673 and 6680

LCM of 6673 and 6680 is 44575640

Least common multiple can be found by multiplying the highest exponent prime factors of 6673 and 6680. First we will calculate the prime factors of 6673 and 6680.

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 6680


2 6680
2 3340
2 1670
5 835
167 167
1

Prime factors of 6680 are 2, 5,167. Prime factorization of 6680 in exponential form is:

6680 = 23×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 6673 and 6680.

LCM(6673,6680) = 23×51×1671×66731
LCM(6673,6680) = 44575640

Factors of 6673

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

1, 6673

Factors of 6680

List of positive integer factors of 6680 that divides 6680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680

Least Common Multiple of 6673 and 6680 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 6680, than apply into the LCM equation.

GCF(6673,6680) = 1
LCM(6673,6680) = ( 6673 × 6680) / 1
LCM(6673,6680) = 44575640 / 1
LCM(6673,6680) = 44575640

Properties of LCM 6673 and 6680

(i) The LCM of 6680 and 6673 is associative

LCM of 6673 and 6680 = LCM of 6680 and 6673

Related Least Common Multiples of 6673

Related Least Common Multiples of 6680

Frequently Asked Questions on LCM of 6673 and 6680

1. What is the LCM of 6673 and 6680?

Answer: LCM of 6673 and 6680 is 44575640.

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 6680?

Answer: Factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680. There are 16 integers that are factors of 6680. The greatest factor of 6680 is 6680.

4. How to Find the LCM of 6673 and 6680?

Answer:

Least Common Multiple of 6673 and 6680 = 44575640

Step 1: Find the prime factorization of 6673

6673 = 6673

Step 2: Find the prime factorization of 6680

6680 = 2 x 2 x 2 x 5 x 167

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

LCM = 44575640 = 2 x 2 x 2 x 5 x 167 x 6673

Step 4: Therefore, the least common multiple of 6673 and 6680 is 44575640.