What is the Least Common Multiple of 60458 and 60477?

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 60458 and 60477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60458 and 60477, than apply into the LCM equation.

GCF(60458,60477) = 19
LCM(60458,60477) = ( 60458 × 60477) / 19
LCM(60458,60477) = 3656318466 / 19
LCM(60458,60477) = 192437814

Least Common Multiple (LCM) of 60458 and 60477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60458 and 60477. First we will calculate the prime factors of 60458 and 60477.

Prime Factorization of 60458

Prime Factorization of 60477

Now multiplying the highest exponent prime factors to calculate the LCM of 60458 and 60477.

LCM(60458,60477) = 2¹ × 19¹ × 37¹ × 43¹ × 3¹ × 1061¹
LCM(60458,60477) = 192437814