What is the Least Common Multiple of 60474 and 60493?

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 60474 and 60493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60474 and 60493, than apply into the LCM equation.

GCF(60474,60493) = 1
LCM(60474,60493) = ( 60474 × 60493) / 1
LCM(60474,60493) = 3658253682 / 1
LCM(60474,60493) = 3658253682

Least Common Multiple (LCM) of 60474 and 60493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60474 and 60493. First we will calculate the prime factors of 60474 and 60493.

Prime Factorization of 60474

Prime Factorization of 60493

Now multiplying the highest exponent prime factors to calculate the LCM of 60474 and 60493.

LCM(60474,60493) = 2¹ × 3¹ × 10079¹ × 60493¹
LCM(60474,60493) = 3658253682