What is the Least Common Multiple of 72486 and 72495?

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 72486 and 72495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72486 and 72495, than apply into the LCM equation.

GCF(72486,72495) = 9
LCM(72486,72495) = ( 72486 × 72495) / 9
LCM(72486,72495) = 5254872570 / 9
LCM(72486,72495) = 583874730

Least Common Multiple (LCM) of 72486 and 72495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72486 and 72495. First we will calculate the prime factors of 72486 and 72495.

Prime Factorization of 72486

Prime Factorization of 72495

Now multiplying the highest exponent prime factors to calculate the LCM of 72486 and 72495.

LCM(72486,72495) = 2¹ × 3⁴ × 4027¹ × 5¹ × 179¹
LCM(72486,72495) = 583874730