Least Common Multiple of 2667 and 2673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2667 and 2673 the smallest integer that is 2376297 that is divisible by both numbers.

Least Common Multiple (LCM) of 2667 and 2673 is 2376297.

LCM(2667,2673) = 2376297

LCM of 2667 and 2673

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

LCM of:
and

Least Common Multiple of 2667 and 2673

LCM of 2667 and 2673 is 2376297

Least common multiple can be found by multiplying the highest exponent prime factors of 2667 and 2673. First we will calculate the prime factors of 2667 and 2673.

Prime Factorization of 2667


3 2667
7 889
127 127
1

Prime factors of 2667 are 3, 7,127. Prime factorization of 2667 in exponential form is:

2667 = 31×71×1271

Prime Factorization of 2673


3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 2673 are 3,11. Prime factorization of 2673 in exponential form is:

2673 = 35×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2667 and 2673.

LCM(2667,2673) = 35×71×111×1271
LCM(2667,2673) = 2376297

Factors of 2667

List of positive integer factors of 2667 that divides 2667 without a remainder.

1, 3, 7, 21, 127, 381, 889, 2667

Factors of 2673

List of positive integer factors of 2673 that divides 2673 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673

Least Common Multiple of 2667 and 2673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2667 and 2673, than apply into the LCM equation.

GCF(2667,2673) = 3
LCM(2667,2673) = ( 2667 × 2673) / 3
LCM(2667,2673) = 7128891 / 3
LCM(2667,2673) = 2376297

Properties of LCM 2667 and 2673

(i) The LCM of 2673 and 2667 is associative

LCM of 2667 and 2673 = LCM of 2673 and 2667

Related Least Common Multiples of 2667

Related Least Common Multiples of 2673

Frequently Asked Questions on LCM of 2667 and 2673

1. What is the LCM of 2667 and 2673?

Answer: LCM of 2667 and 2673 is 2376297.

2. What are the Factors of 2667?

Answer: Factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667. There are 8 integers that are factors of 2667. The greatest factor of 2667 is 2667.

3. What are the Factors of 2673?

Answer: Factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673. There are 12 integers that are factors of 2673. The greatest factor of 2673 is 2673.

4. How to Find the LCM of 2667 and 2673?

Answer:

Least Common Multiple of 2667 and 2673 = 2376297

Step 1: Find the prime factorization of 2667

2667 = 3 x 7 x 127

Step 2: Find the prime factorization of 2673

2673 = 3 x 3 x 3 x 3 x 3 x 11

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

LCM = 2376297 = 3 x 3 x 3 x 3 x 3 x 7 x 11 x 127

Step 4: Therefore, the least common multiple of 2667 and 2673 is 2376297.