What is the Least Common Multiple of 72806 and 72825?

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 72806 and 72825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72806 and 72825, than apply into the LCM equation.

GCF(72806,72825) = 1
LCM(72806,72825) = ( 72806 × 72825) / 1
LCM(72806,72825) = 5302096950 / 1
LCM(72806,72825) = 5302096950

Least Common Multiple (LCM) of 72806 and 72825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72806 and 72825. First we will calculate the prime factors of 72806 and 72825.

Prime Factorization of 72806

Prime Factorization of 72825

Now multiplying the highest exponent prime factors to calculate the LCM of 72806 and 72825.

LCM(72806,72825) = 2¹ × 59¹ × 617¹ × 3¹ × 5² × 971¹
LCM(72806,72825) = 5302096950