What is the Least Common Multiple of 96228 and 96235?

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 96235 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 96235, than apply into the LCM equation.

GCF(96228,96235) = 1
LCM(96228,96235) = ( 96228 × 96235) / 1
LCM(96228,96235) = 9260501580 / 1
LCM(96228,96235) = 9260501580

Least Common Multiple (LCM) of 96228 and 96235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96228 and 96235. First we will calculate the prime factors of 96228 and 96235.

Prime Factorization of 96228

Prime Factorization of 96235

Now multiplying the highest exponent prime factors to calculate the LCM of 96228 and 96235.

LCM(96228,96235) = 2² × 3⁷ × 11¹ × 5¹ × 19¹ × 1013¹
LCM(96228,96235) = 9260501580