GCF and LCM Calculator Logo

What is the Least Common Multiple of 2661 and 2681?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2661 and 2681 is 7134141.

LCM(2661,2681) = 7134141

LCM Calculator and
and

Least Common Multiple of 2661 and 2681 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 2681, than apply into the LCM equation.

GCF(2661,2681) = 1
LCM(2661,2681) = ( 2661 × 2681) / 1
LCM(2661,2681) = 7134141 / 1
LCM(2661,2681) = 7134141

Least Common Multiple (LCM) of 2661 and 2681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2661 and 2681. First we will calculate the prime factors of 2661 and 2681.

Prime Factorization of 2661

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

2661 = 31 × 8871

Prime Factorization of 2681

Prime factors of 2681 are 7, 383. Prime factorization of 2681 in exponential form is:

2681 = 71 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 2661 and 2681.

LCM(2661,2681) = 31 × 8871 × 71 × 3831
LCM(2661,2681) = 7134141