Least Common Multiple of 2661 and 2667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2661 and 2667 the smallest integer that is 2365629 that is divisible by both numbers.

Least Common Multiple (LCM) of 2661 and 2667 is 2365629.

LCM(2661,2667) = 2365629

LCM of 2661 and 2667

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

LCM of:
and

Least Common Multiple of 2661 and 2667

LCM of 2661 and 2667 is 2365629

Least common multiple can be found by multiplying the highest exponent prime factors of 2661 and 2667. First we will calculate the prime factors of 2661 and 2667.

Prime Factorization of 2661


3 2661
887 887
1

Prime factors of 2661 are 3,887. Prime factorization of 2661 in exponential form is:

2661 = 31×8871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2661 and 2667.

LCM(2661,2667) = 31×71×1271×8871
LCM(2661,2667) = 2365629

Factors of 2661

List of positive integer factors of 2661 that divides 2661 without a remainder.

1, 3, 887, 2661

Factors of 2667

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

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

Least Common Multiple of 2661 and 2667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2661 and 2667, than apply into the LCM equation.

GCF(2661,2667) = 3
LCM(2661,2667) = ( 2661 × 2667) / 3
LCM(2661,2667) = 7096887 / 3
LCM(2661,2667) = 2365629

Properties of LCM 2661 and 2667

(i) The LCM of 2667 and 2661 is associative

LCM of 2661 and 2667 = LCM of 2667 and 2661

Related Least Common Multiples of 2661

Related Least Common Multiples of 2667

Frequently Asked Questions on LCM of 2661 and 2667

1. What is the LCM of 2661 and 2667?

Answer: LCM of 2661 and 2667 is 2365629.

2. What are the Factors of 2661?

Answer: Factors of 2661 are 1, 3, 887, 2661. There are 4 integers that are factors of 2661. The greatest factor of 2661 is 2661.

3. 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.

4. How to Find the LCM of 2661 and 2667?

Answer:

Least Common Multiple of 2661 and 2667 = 2365629

Step 1: Find the prime factorization of 2661

2661 = 3 x 887

Step 2: Find the prime factorization of 2667

2667 = 3 x 7 x 127

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

LCM = 2365629 = 3 x 7 x 127 x 887

Step 4: Therefore, the least common multiple of 2661 and 2667 is 2365629.