What is the Least Common Multiple of 96805 and 96825?

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 96805 and 96825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96805 and 96825, than apply into the LCM equation.

GCF(96805,96825) = 5
LCM(96805,96825) = ( 96805 × 96825) / 5
LCM(96805,96825) = 9373144125 / 5
LCM(96805,96825) = 1874628825

Least Common Multiple (LCM) of 96805 and 96825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96805 and 96825. First we will calculate the prime factors of 96805 and 96825.

Prime Factorization of 96805

Prime Factorization of 96825

Now multiplying the highest exponent prime factors to calculate the LCM of 96805 and 96825.

LCM(96805,96825) = 5² × 19¹ × 1019¹ × 3¹ × 1291¹
LCM(96805,96825) = 1874628825