What is the Least Common Multiple of 60074 and 60081?

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 60074 and 60081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60074 and 60081, than apply into the LCM equation.

GCF(60074,60081) = 7
LCM(60074,60081) = ( 60074 × 60081) / 7
LCM(60074,60081) = 3609305994 / 7
LCM(60074,60081) = 515615142

Least Common Multiple (LCM) of 60074 and 60081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60074 and 60081. First we will calculate the prime factors of 60074 and 60081.

Prime Factorization of 60074

Prime Factorization of 60081

Now multiplying the highest exponent prime factors to calculate the LCM of 60074 and 60081.

LCM(60074,60081) = 2¹ × 7² × 613¹ × 3¹ × 2861¹
LCM(60074,60081) = 515615142