What is the Least Common Multiple of 72512 and 72523?

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 72512 and 72523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72512 and 72523, than apply into the LCM equation.

GCF(72512,72523) = 11
LCM(72512,72523) = ( 72512 × 72523) / 11
LCM(72512,72523) = 5258787776 / 11
LCM(72512,72523) = 478071616

Least Common Multiple (LCM) of 72512 and 72523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72512 and 72523. First we will calculate the prime factors of 72512 and 72523.

Prime Factorization of 72512

Prime Factorization of 72523

Now multiplying the highest exponent prime factors to calculate the LCM of 72512 and 72523.

LCM(72512,72523) = 2⁶ × 11¹ × 103¹ × 19¹ × 347¹
LCM(72512,72523) = 478071616