What is the Least Common Multiple of 50484 and 50496?

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 50484 and 50496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50484 and 50496, than apply into the LCM equation.

GCF(50484,50496) = 12
LCM(50484,50496) = ( 50484 × 50496) / 12
LCM(50484,50496) = 2549240064 / 12
LCM(50484,50496) = 212436672

Least Common Multiple (LCM) of 50484 and 50496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50484 and 50496. First we will calculate the prime factors of 50484 and 50496.

Prime Factorization of 50484

Prime Factorization of 50496

Now multiplying the highest exponent prime factors to calculate the LCM of 50484 and 50496.

LCM(50484,50496) = 2⁶ × 3¹ × 7¹ × 601¹ × 263¹
LCM(50484,50496) = 212436672