What is the Least Common Multiple of 60468 and 60488?

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 60468 and 60488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60468 and 60488, than apply into the LCM equation.

GCF(60468,60488) = 4
LCM(60468,60488) = ( 60468 × 60488) / 4
LCM(60468,60488) = 3657588384 / 4
LCM(60468,60488) = 914397096

Least Common Multiple (LCM) of 60468 and 60488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60468 and 60488. First we will calculate the prime factors of 60468 and 60488.

Prime Factorization of 60468

Prime Factorization of 60488

Now multiplying the highest exponent prime factors to calculate the LCM of 60468 and 60488.

LCM(60468,60488) = 2³ × 3¹ × 5039¹ × 7561¹
LCM(60468,60488) = 914397096