What is the Least Common Multiple of 73605 and 73625?

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 73605 and 73625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73605 and 73625, than apply into the LCM equation.

GCF(73605,73625) = 5
LCM(73605,73625) = ( 73605 × 73625) / 5
LCM(73605,73625) = 5419168125 / 5
LCM(73605,73625) = 1083833625

Least Common Multiple (LCM) of 73605 and 73625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73605 and 73625. First we will calculate the prime factors of 73605 and 73625.

Prime Factorization of 73605

Prime Factorization of 73625

Now multiplying the highest exponent prime factors to calculate the LCM of 73605 and 73625.

LCM(73605,73625) = 3¹ × 5³ × 7¹ × 701¹ × 19¹ × 31¹
LCM(73605,73625) = 1083833625