What is the Least Common Multiple of 96222 and 96236?

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 96222 and 96236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96222 and 96236, than apply into the LCM equation.

GCF(96222,96236) = 14
LCM(96222,96236) = ( 96222 × 96236) / 14
LCM(96222,96236) = 9260020392 / 14
LCM(96222,96236) = 661430028

Least Common Multiple (LCM) of 96222 and 96236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96222 and 96236. First we will calculate the prime factors of 96222 and 96236.

Prime Factorization of 96222

Prime Factorization of 96236

Now multiplying the highest exponent prime factors to calculate the LCM of 96222 and 96236.

LCM(96222,96236) = 2² × 3¹ × 7² × 29¹ × 79¹ × 491¹
LCM(96222,96236) = 661430028