What is the Least Common Multiple of 72509 and 72515?

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 72509 and 72515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72509 and 72515, than apply into the LCM equation.

GCF(72509,72515) = 1
LCM(72509,72515) = ( 72509 × 72515) / 1
LCM(72509,72515) = 5257990135 / 1
LCM(72509,72515) = 5257990135

Least Common Multiple (LCM) of 72509 and 72515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72509 and 72515. First we will calculate the prime factors of 72509 and 72515.

Prime Factorization of 72509

Prime Factorization of 72515

Now multiplying the highest exponent prime factors to calculate the LCM of 72509 and 72515.

LCM(72509,72515) = 31¹ × 2339¹ × 5¹ × 14503¹
LCM(72509,72515) = 5257990135