What is the Least Common Multiple of 96766 and 96771?

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 96766 and 96771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96766 and 96771, than apply into the LCM equation.

GCF(96766,96771) = 1
LCM(96766,96771) = ( 96766 × 96771) / 1
LCM(96766,96771) = 9364142586 / 1
LCM(96766,96771) = 9364142586

Least Common Multiple (LCM) of 96766 and 96771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96766 and 96771. First we will calculate the prime factors of 96766 and 96771.

Prime Factorization of 96766

Prime Factorization of 96771

Now multiplying the highest exponent prime factors to calculate the LCM of 96766 and 96771.

LCM(96766,96771) = 2¹ × 48383¹ × 3¹ × 32257¹
LCM(96766,96771) = 9364142586