What is the Least Common Multiple of 60045 and 60057?

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 of 60045 and 60057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60045 and 60057, than apply into the LCM equation.

GCF(60045,60057) = 3
LCM(60045,60057) = ( 60045 × 60057) / 3
LCM(60045,60057) = 3606122565 / 3
LCM(60045,60057) = 1202040855

Least Common Multiple (LCM) of 60045 and 60057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60045 and 60057. First we will calculate the prime factors of 60045 and 60057.

Prime Factorization of 60045

Prime Factorization of 60057

Now multiplying the highest exponent prime factors to calculate the LCM of 60045 and 60057.

LCM(60045,60057) = 3² × 5¹ × 4003¹ × 6673¹
LCM(60045,60057) = 1202040855