What is the Least Common Multiple of 60042 and 60048?

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 60042 and 60048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60042 and 60048, than apply into the LCM equation.

GCF(60042,60048) = 6
LCM(60042,60048) = ( 60042 × 60048) / 6
LCM(60042,60048) = 3605402016 / 6
LCM(60042,60048) = 600900336

Least Common Multiple (LCM) of 60042 and 60048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60042 and 60048. First we will calculate the prime factors of 60042 and 60048.

Prime Factorization of 60042

Prime Factorization of 60048

Now multiplying the highest exponent prime factors to calculate the LCM of 60042 and 60048.

LCM(60042,60048) = 2⁴ × 3³ × 10007¹ × 139¹
LCM(60042,60048) = 600900336