What is the Least Common Multiple of 96750 and 96762?

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 96750 and 96762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96750 and 96762, than apply into the LCM equation.

GCF(96750,96762) = 6
LCM(96750,96762) = ( 96750 × 96762) / 6
LCM(96750,96762) = 9361723500 / 6
LCM(96750,96762) = 1560287250

Least Common Multiple (LCM) of 96750 and 96762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96750 and 96762. First we will calculate the prime factors of 96750 and 96762.

Prime Factorization of 96750

Prime Factorization of 96762

Now multiplying the highest exponent prime factors to calculate the LCM of 96750 and 96762.

LCM(96750,96762) = 2¹ × 3² × 5³ × 43¹ × 16127¹
LCM(96750,96762) = 1560287250