What is the Least Common Multiple of 60478 and 60498?

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 60478 and 60498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60478 and 60498, than apply into the LCM equation.

GCF(60478,60498) = 2
LCM(60478,60498) = ( 60478 × 60498) / 2
LCM(60478,60498) = 3658798044 / 2
LCM(60478,60498) = 1829399022

Least Common Multiple (LCM) of 60478 and 60498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60478 and 60498. First we will calculate the prime factors of 60478 and 60498.

Prime Factorization of 60478

Prime Factorization of 60498

Now multiplying the highest exponent prime factors to calculate the LCM of 60478 and 60498.

LCM(60478,60498) = 2¹ × 11¹ × 2749¹ × 3² × 3361¹
LCM(60478,60498) = 1829399022