GCF and LCM Calculator Logo

What is the Least Common Multiple of 6045 and 6058?

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 6045 and 6058 is 2816970.

LCM(6045,6058) = 2816970

LCM Calculator and
and

Least Common Multiple of 6045 and 6058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6045 and 6058, than apply into the LCM equation.

GCF(6045,6058) = 13
LCM(6045,6058) = ( 6045 × 6058) / 13
LCM(6045,6058) = 36620610 / 13
LCM(6045,6058) = 2816970

Least Common Multiple (LCM) of 6045 and 6058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6045 and 6058. First we will calculate the prime factors of 6045 and 6058.

Prime Factorization of 6045

Prime factors of 6045 are 3, 5, 13, 31. Prime factorization of 6045 in exponential form is:

6045 = 31 × 51 × 131 × 311

Prime Factorization of 6058

Prime factors of 6058 are 2, 13, 233. Prime factorization of 6058 in exponential form is:

6058 = 21 × 131 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 6045 and 6058.

LCM(6045,6058) = 31 × 51 × 131 × 311 × 21 × 2331
LCM(6045,6058) = 2816970