What is the Least Common Multiple of 73489 and 73504?

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 73489 and 73504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73489 and 73504, than apply into the LCM equation.

GCF(73489,73504) = 1
LCM(73489,73504) = ( 73489 × 73504) / 1
LCM(73489,73504) = 5401735456 / 1
LCM(73489,73504) = 5401735456

Least Common Multiple (LCM) of 73489 and 73504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73489 and 73504. First we will calculate the prime factors of 73489 and 73504.

Prime Factorization of 73489

Prime Factorization of 73504

Now multiplying the highest exponent prime factors to calculate the LCM of 73489 and 73504.

LCM(73489,73504) = 13¹ × 5653¹ × 2⁵ × 2297¹
LCM(73489,73504) = 5401735456