What is the Least Common Multiple of 48324 and 48336?

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 48324 and 48336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48324 and 48336, than apply into the LCM equation.

GCF(48324,48336) = 12
LCM(48324,48336) = ( 48324 × 48336) / 12
LCM(48324,48336) = 2335788864 / 12
LCM(48324,48336) = 194649072

Least Common Multiple (LCM) of 48324 and 48336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48324 and 48336. First we will calculate the prime factors of 48324 and 48336.

Prime Factorization of 48324

Prime Factorization of 48336

Now multiplying the highest exponent prime factors to calculate the LCM of 48324 and 48336.

LCM(48324,48336) = 2⁴ × 3¹ × 4027¹ × 19¹ × 53¹
LCM(48324,48336) = 194649072