What is the Least Common Multiple of 60488 and 60492?

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 60488 and 60492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60488 and 60492, than apply into the LCM equation.

GCF(60488,60492) = 4
LCM(60488,60492) = ( 60488 × 60492) / 4
LCM(60488,60492) = 3659040096 / 4
LCM(60488,60492) = 914760024

Least Common Multiple (LCM) of 60488 and 60492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60488 and 60492. First we will calculate the prime factors of 60488 and 60492.

Prime Factorization of 60488

Prime Factorization of 60492

Now multiplying the highest exponent prime factors to calculate the LCM of 60488 and 60492.

LCM(60488,60492) = 2³ × 7561¹ × 3¹ × 71²
LCM(60488,60492) = 914760024