What is the Least Common Multiple of 73505 and 73525?

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 73505 and 73525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73505 and 73525, than apply into the LCM equation.

GCF(73505,73525) = 5
LCM(73505,73525) = ( 73505 × 73525) / 5
LCM(73505,73525) = 5404455125 / 5
LCM(73505,73525) = 1080891025

Least Common Multiple (LCM) of 73505 and 73525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73505 and 73525. First we will calculate the prime factors of 73505 and 73525.

Prime Factorization of 73505

Prime Factorization of 73525

Now multiplying the highest exponent prime factors to calculate the LCM of 73505 and 73525.

LCM(73505,73525) = 5² × 61¹ × 241¹ × 17¹ × 173¹
LCM(73505,73525) = 1080891025