What is the Least Common Multiple of 74496 and 74512?

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 74496 and 74512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74496 and 74512, than apply into the LCM equation.

GCF(74496,74512) = 16
LCM(74496,74512) = ( 74496 × 74512) / 16
LCM(74496,74512) = 5550845952 / 16
LCM(74496,74512) = 346927872

Least Common Multiple (LCM) of 74496 and 74512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74496 and 74512. First we will calculate the prime factors of 74496 and 74512.

Prime Factorization of 74496

Prime Factorization of 74512

Now multiplying the highest exponent prime factors to calculate the LCM of 74496 and 74512.

LCM(74496,74512) = 2⁸ × 3¹ × 97¹ × 4657¹
LCM(74496,74512) = 346927872