What is the Least Common Multiple of 72501 and 72514?

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 72501 and 72514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72501 and 72514, than apply into the LCM equation.

GCF(72501,72514) = 13
LCM(72501,72514) = ( 72501 × 72514) / 13
LCM(72501,72514) = 5257337514 / 13
LCM(72501,72514) = 404410578

Least Common Multiple (LCM) of 72501 and 72514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72501 and 72514. First we will calculate the prime factors of 72501 and 72514.

Prime Factorization of 72501

Prime Factorization of 72514

Now multiplying the highest exponent prime factors to calculate the LCM of 72501 and 72514.

LCM(72501,72514) = 3¹ × 11¹ × 13³ × 2¹ × 2789¹
LCM(72501,72514) = 404410578