What is the Least Common Multiple of 60078 and 60096?

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 60078 and 60096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60078 and 60096, than apply into the LCM equation.

GCF(60078,60096) = 6
LCM(60078,60096) = ( 60078 × 60096) / 6
LCM(60078,60096) = 3610447488 / 6
LCM(60078,60096) = 601741248

Least Common Multiple (LCM) of 60078 and 60096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60078 and 60096. First we will calculate the prime factors of 60078 and 60096.

Prime Factorization of 60078

Prime Factorization of 60096

Now multiplying the highest exponent prime factors to calculate the LCM of 60078 and 60096.

LCM(60078,60096) = 2⁶ × 3¹ × 17¹ × 19¹ × 31¹ × 313¹
LCM(60078,60096) = 601741248