What is the Least Common Multiple of 96825 and 96835?

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 96825 and 96835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96825 and 96835, than apply into the LCM equation.

GCF(96825,96835) = 5
LCM(96825,96835) = ( 96825 × 96835) / 5
LCM(96825,96835) = 9376048875 / 5
LCM(96825,96835) = 1875209775

Least Common Multiple (LCM) of 96825 and 96835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96825 and 96835. First we will calculate the prime factors of 96825 and 96835.

Prime Factorization of 96825

Prime Factorization of 96835

Now multiplying the highest exponent prime factors to calculate the LCM of 96825 and 96835.

LCM(96825,96835) = 3¹ × 5² × 1291¹ × 107¹ × 181¹
LCM(96825,96835) = 1875209775