What is the Least Common Multiple of 73485 and 73503?

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 73485 and 73503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73485 and 73503, than apply into the LCM equation.

GCF(73485,73503) = 9
LCM(73485,73503) = ( 73485 × 73503) / 9
LCM(73485,73503) = 5401367955 / 9
LCM(73485,73503) = 600151995

Least Common Multiple (LCM) of 73485 and 73503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73485 and 73503. First we will calculate the prime factors of 73485 and 73503.

Prime Factorization of 73485

Prime Factorization of 73503

Now multiplying the highest exponent prime factors to calculate the LCM of 73485 and 73503.

LCM(73485,73503) = 3² × 5¹ × 23¹ × 71¹ × 8167¹
LCM(73485,73503) = 600151995