What is the Least Common Multiple of 73505 and 73512?

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 73512 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 73512, than apply into the LCM equation.

GCF(73505,73512) = 1
LCM(73505,73512) = ( 73505 × 73512) / 1
LCM(73505,73512) = 5403499560 / 1
LCM(73505,73512) = 5403499560

Least Common Multiple (LCM) of 73505 and 73512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73505 and 73512. First we will calculate the prime factors of 73505 and 73512.

Prime Factorization of 73505

Prime Factorization of 73512

Now multiplying the highest exponent prime factors to calculate the LCM of 73505 and 73512.

LCM(73505,73512) = 5¹ × 61¹ × 241¹ × 2³ × 3² × 1021¹
LCM(73505,73512) = 5403499560