What is the Least Common Multiple of 53484 and 53496?

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 53484 and 53496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53484 and 53496, than apply into the LCM equation.

GCF(53484,53496) = 12
LCM(53484,53496) = ( 53484 × 53496) / 12
LCM(53484,53496) = 2861180064 / 12
LCM(53484,53496) = 238431672

Least Common Multiple (LCM) of 53484 and 53496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53484 and 53496. First we will calculate the prime factors of 53484 and 53496.

Prime Factorization of 53484

Prime Factorization of 53496

Now multiplying the highest exponent prime factors to calculate the LCM of 53484 and 53496.

LCM(53484,53496) = 2³ × 3² × 4457¹ × 743¹
LCM(53484,53496) = 238431672