What is the Least Common Multiple of 74484 and 74496?

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 74484 and 74496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74484 and 74496, than apply into the LCM equation.

GCF(74484,74496) = 12
LCM(74484,74496) = ( 74484 × 74496) / 12
LCM(74484,74496) = 5548760064 / 12
LCM(74484,74496) = 462396672

Least Common Multiple (LCM) of 74484 and 74496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74484 and 74496. First we will calculate the prime factors of 74484 and 74496.

Prime Factorization of 74484

Prime Factorization of 74496

Now multiplying the highest exponent prime factors to calculate the LCM of 74484 and 74496.

LCM(74484,74496) = 2⁸ × 3² × 2069¹ × 97¹
LCM(74484,74496) = 462396672