What is the Least Common Multiple of 60288 and 60296?

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 60288 and 60296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60288 and 60296, than apply into the LCM equation.

GCF(60288,60296) = 8
LCM(60288,60296) = ( 60288 × 60296) / 8
LCM(60288,60296) = 3635125248 / 8
LCM(60288,60296) = 454390656

Least Common Multiple (LCM) of 60288 and 60296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60288 and 60296. First we will calculate the prime factors of 60288 and 60296.

Prime Factorization of 60288

Prime Factorization of 60296

Now multiplying the highest exponent prime factors to calculate the LCM of 60288 and 60296.

LCM(60288,60296) = 2⁷ × 3¹ × 157¹ × 7537¹
LCM(60288,60296) = 454390656