GCF and LCM Calculator Logo

What is the Least Common Multiple of 3041 and 3051?

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 3041 and 3051 is 9278091.

LCM(3041,3051) = 9278091

LCM Calculator and
and

Least Common Multiple of 3041 and 3051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3041 and 3051, than apply into the LCM equation.

GCF(3041,3051) = 1
LCM(3041,3051) = ( 3041 × 3051) / 1
LCM(3041,3051) = 9278091 / 1
LCM(3041,3051) = 9278091

Least Common Multiple (LCM) of 3041 and 3051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3041 and 3051. First we will calculate the prime factors of 3041 and 3051.

Prime Factorization of 3041

Prime factors of 3041 are 3041. Prime factorization of 3041 in exponential form is:

3041 = 30411

Prime Factorization of 3051

Prime factors of 3051 are 3, 113. Prime factorization of 3051 in exponential form is:

3051 = 33 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3041 and 3051.

LCM(3041,3051) = 30411 × 33 × 1131
LCM(3041,3051) = 9278091