GCF and LCM Calculator Logo

What is the Least Common Multiple of 60603 and 60618?

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 60603 and 60618 is 1224544218.

LCM(60603,60618) = 1224544218

LCM Calculator and
and

Least Common Multiple of 60603 and 60618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60603 and 60618, than apply into the LCM equation.

GCF(60603,60618) = 3
LCM(60603,60618) = ( 60603 × 60618) / 3
LCM(60603,60618) = 3673632654 / 3
LCM(60603,60618) = 1224544218

Least Common Multiple (LCM) of 60603 and 60618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60603 and 60618. First we will calculate the prime factors of 60603 and 60618.

Prime Factorization of 60603

Prime factors of 60603 are 3, 20201. Prime factorization of 60603 in exponential form is:

60603 = 31 × 202011

Prime Factorization of 60618

Prime factors of 60618 are 2, 3, 10103. Prime factorization of 60618 in exponential form is:

60618 = 21 × 31 × 101031

Now multiplying the highest exponent prime factors to calculate the LCM of 60603 and 60618.

LCM(60603,60618) = 31 × 202011 × 21 × 101031
LCM(60603,60618) = 1224544218