What is the Least Common Multiple of 73548 and 73565?

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 73548 and 73565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73548 and 73565, than apply into the LCM equation.

GCF(73548,73565) = 1
LCM(73548,73565) = ( 73548 × 73565) / 1
LCM(73548,73565) = 5410558620 / 1
LCM(73548,73565) = 5410558620

Least Common Multiple (LCM) of 73548 and 73565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73548 and 73565. First we will calculate the prime factors of 73548 and 73565.

Prime Factorization of 73548

Prime Factorization of 73565

Now multiplying the highest exponent prime factors to calculate the LCM of 73548 and 73565.

LCM(73548,73565) = 2² × 3⁴ × 227¹ × 5¹ × 14713¹
LCM(73548,73565) = 5410558620