What is the Least Common Multiple of 72425 and 72440?

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 72425 and 72440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72425 and 72440, than apply into the LCM equation.

GCF(72425,72440) = 5
LCM(72425,72440) = ( 72425 × 72440) / 5
LCM(72425,72440) = 5246467000 / 5
LCM(72425,72440) = 1049293400

Least Common Multiple (LCM) of 72425 and 72440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72425 and 72440. First we will calculate the prime factors of 72425 and 72440.

Prime Factorization of 72425

Prime Factorization of 72440

Now multiplying the highest exponent prime factors to calculate the LCM of 72425 and 72440.

LCM(72425,72440) = 5² × 2897¹ × 2³ × 1811¹
LCM(72425,72440) = 1049293400