What is the Least Common Multiple of 73548 and 73567?

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 73567 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 73567, than apply into the LCM equation.

GCF(73548,73567) = 1
LCM(73548,73567) = ( 73548 × 73567) / 1
LCM(73548,73567) = 5410705716 / 1
LCM(73548,73567) = 5410705716

Least Common Multiple (LCM) of 73548 and 73567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73548 and 73567. First we will calculate the prime factors of 73548 and 73567.

Prime Factorization of 73548

Prime Factorization of 73567

Now multiplying the highest exponent prime factors to calculate the LCM of 73548 and 73567.

LCM(73548,73567) = 2² × 3⁴ × 227¹ × 13¹ × 5659¹
LCM(73548,73567) = 5410705716