What is the Least Common Multiple of 96324 and 96342?

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 96324 and 96342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96324 and 96342, than apply into the LCM equation.

GCF(96324,96342) = 6
LCM(96324,96342) = ( 96324 × 96342) / 6
LCM(96324,96342) = 9280046808 / 6
LCM(96324,96342) = 1546674468

Least Common Multiple (LCM) of 96324 and 96342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96324 and 96342. First we will calculate the prime factors of 96324 and 96342.

Prime Factorization of 96324

Prime Factorization of 96342

Now multiplying the highest exponent prime factors to calculate the LCM of 96324 and 96342.

LCM(96324,96342) = 2² × 3¹ × 23¹ × 349¹ × 16057¹
LCM(96324,96342) = 1546674468