Least Common Multiple of 6667 and 6673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6667 and 6673 the smallest integer that is 44488891 that is divisible by both numbers.

Least Common Multiple (LCM) of 6667 and 6673 is 44488891.

LCM(6667,6673) = 44488891

LCM of 6667 and 6673

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

LCM of:
and

Least Common Multiple of 6667 and 6673

LCM of 6667 and 6673 is 44488891

Least common multiple can be found by multiplying the highest exponent prime factors of 6667 and 6673. First we will calculate the prime factors of 6667 and 6673.

Prime Factorization of 6667


59 6667
113 113
1

Prime factors of 6667 are 59,113. Prime factorization of 6667 in exponential form is:

6667 = 591×1131

Prime Factorization of 6673


6673 6673
1

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

6673 = 66731

Now multiplying the highest exponent prime factors to calculate the LCM of 6667 and 6673.

LCM(6667,6673) = 591×1131×66731
LCM(6667,6673) = 44488891

Factors of 6667

List of positive integer factors of 6667 that divides 6667 without a remainder.

1, 59, 113, 6667

Factors of 6673

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

1, 6673

Least Common Multiple of 6667 and 6673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6667 and 6673, than apply into the LCM equation.

GCF(6667,6673) = 1
LCM(6667,6673) = ( 6667 × 6673) / 1
LCM(6667,6673) = 44488891 / 1
LCM(6667,6673) = 44488891

Properties of LCM 6667 and 6673

(i) The LCM of 6673 and 6667 is associative

LCM of 6667 and 6673 = LCM of 6673 and 6667

Related Least Common Multiples of 6667

Related Least Common Multiples of 6673

Frequently Asked Questions on LCM of 6667 and 6673

1. What is the LCM of 6667 and 6673?

Answer: LCM of 6667 and 6673 is 44488891.

2. What are the Factors of 6667?

Answer: Factors of 6667 are 1, 59, 113, 6667. There are 4 integers that are factors of 6667. The greatest factor of 6667 is 6667.

3. 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.

4. How to Find the LCM of 6667 and 6673?

Answer:

Least Common Multiple of 6667 and 6673 = 44488891

Step 1: Find the prime factorization of 6667

6667 = 59 x 113

Step 2: Find the prime factorization of 6673

6673 = 6673

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

LCM = 44488891 = 59 x 113 x 6673

Step 4: Therefore, the least common multiple of 6667 and 6673 is 44488891.