What is the Least Common Multiple of 60093 and 60097?

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 60093 and 60097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60093 and 60097, than apply into the LCM equation.

GCF(60093,60097) = 1
LCM(60093,60097) = ( 60093 × 60097) / 1
LCM(60093,60097) = 3611409021 / 1
LCM(60093,60097) = 3611409021

Least Common Multiple (LCM) of 60093 and 60097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60093 and 60097. First we will calculate the prime factors of 60093 and 60097.

Prime Factorization of 60093

Prime Factorization of 60097

Now multiplying the highest exponent prime factors to calculate the LCM of 60093 and 60097.

LCM(60093,60097) = 3² × 11¹ × 607¹ × 19¹ × 3163¹
LCM(60093,60097) = 3611409021