GCF and LCM Calculator Logo

What is the Least Common Multiple of 3049 and 3058?

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 3049 and 3058 is 9323842.

LCM(3049,3058) = 9323842

LCM Calculator and
and

Least Common Multiple of 3049 and 3058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3049 and 3058, than apply into the LCM equation.

GCF(3049,3058) = 1
LCM(3049,3058) = ( 3049 × 3058) / 1
LCM(3049,3058) = 9323842 / 1
LCM(3049,3058) = 9323842

Least Common Multiple (LCM) of 3049 and 3058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3049 and 3058. First we will calculate the prime factors of 3049 and 3058.

Prime Factorization of 3049

Prime factors of 3049 are 3049. Prime factorization of 3049 in exponential form is:

3049 = 30491

Prime Factorization of 3058

Prime factors of 3058 are 2, 11, 139. Prime factorization of 3058 in exponential form is:

3058 = 21 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3049 and 3058.

LCM(3049,3058) = 30491 × 21 × 111 × 1391
LCM(3049,3058) = 9323842