What is the Least Common Multiple of 96735 and 96750?

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 96735 and 96750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96735 and 96750, than apply into the LCM equation.

GCF(96735,96750) = 15
LCM(96735,96750) = ( 96735 × 96750) / 15
LCM(96735,96750) = 9359111250 / 15
LCM(96735,96750) = 623940750

Least Common Multiple (LCM) of 96735 and 96750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96735 and 96750. First we will calculate the prime factors of 96735 and 96750.

Prime Factorization of 96735

Prime Factorization of 96750

Now multiplying the highest exponent prime factors to calculate the LCM of 96735 and 96750.

LCM(96735,96750) = 3² × 5³ × 6449¹ × 2¹ × 43¹
LCM(96735,96750) = 623940750