What is the Least Common Multiple of 96208 and 96228?

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 96208 and 96228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96208 and 96228, than apply into the LCM equation.

GCF(96208,96228) = 4
LCM(96208,96228) = ( 96208 × 96228) / 4
LCM(96208,96228) = 9257903424 / 4
LCM(96208,96228) = 2314475856

Least Common Multiple (LCM) of 96208 and 96228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96208 and 96228. First we will calculate the prime factors of 96208 and 96228.

Prime Factorization of 96208

Prime Factorization of 96228

Now multiplying the highest exponent prime factors to calculate the LCM of 96208 and 96228.

LCM(96208,96228) = 2⁴ × 7¹ × 859¹ × 3⁷ × 11¹
LCM(96208,96228) = 2314475856