GCF and LCM Calculator Logo

What is the Least Common Multiple of 6042 and 6059?

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 6042 and 6059 is 36608478.

LCM(6042,6059) = 36608478

LCM Calculator and
and

Least Common Multiple of 6042 and 6059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6042 and 6059, than apply into the LCM equation.

GCF(6042,6059) = 1
LCM(6042,6059) = ( 6042 × 6059) / 1
LCM(6042,6059) = 36608478 / 1
LCM(6042,6059) = 36608478

Least Common Multiple (LCM) of 6042 and 6059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6042 and 6059. First we will calculate the prime factors of 6042 and 6059.

Prime Factorization of 6042

Prime factors of 6042 are 2, 3, 19, 53. Prime factorization of 6042 in exponential form is:

6042 = 21 × 31 × 191 × 531

Prime Factorization of 6059

Prime factors of 6059 are 73, 83. Prime factorization of 6059 in exponential form is:

6059 = 731 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 6042 and 6059.

LCM(6042,6059) = 21 × 31 × 191 × 531 × 731 × 831
LCM(6042,6059) = 36608478