What is the Least Common Multiple of 96228 and 96234?

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 96228 and 96234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96228 and 96234, than apply into the LCM equation.

GCF(96228,96234) = 6
LCM(96228,96234) = ( 96228 × 96234) / 6
LCM(96228,96234) = 9260405352 / 6
LCM(96228,96234) = 1543400892

Least Common Multiple (LCM) of 96228 and 96234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96228 and 96234. First we will calculate the prime factors of 96228 and 96234.

Prime Factorization of 96228

Prime Factorization of 96234

Now multiplying the highest exponent prime factors to calculate the LCM of 96228 and 96234.

LCM(96228,96234) = 2² × 3⁷ × 11¹ × 43¹ × 373¹
LCM(96228,96234) = 1543400892