What is the Least Common Multiple of 73504 and 73523?

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 73504 and 73523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73504 and 73523, than apply into the LCM equation.

GCF(73504,73523) = 1
LCM(73504,73523) = ( 73504 × 73523) / 1
LCM(73504,73523) = 5404234592 / 1
LCM(73504,73523) = 5404234592

Least Common Multiple (LCM) of 73504 and 73523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73504 and 73523. First we will calculate the prime factors of 73504 and 73523.

Prime Factorization of 73504

Prime Factorization of 73523

Now multiplying the highest exponent prime factors to calculate the LCM of 73504 and 73523.

LCM(73504,73523) = 2⁵ × 2297¹ × 73523¹
LCM(73504,73523) = 5404234592