What is the Least Common Multiple of 96280 and 96284?

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 96280 and 96284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96280 and 96284, than apply into the LCM equation.

GCF(96280,96284) = 4
LCM(96280,96284) = ( 96280 × 96284) / 4
LCM(96280,96284) = 9270223520 / 4
LCM(96280,96284) = 2317555880

Least Common Multiple (LCM) of 96280 and 96284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96280 and 96284. First we will calculate the prime factors of 96280 and 96284.

Prime Factorization of 96280

Prime Factorization of 96284

Now multiplying the highest exponent prime factors to calculate the LCM of 96280 and 96284.

LCM(96280,96284) = 2³ × 5¹ × 29¹ × 83¹ × 24071¹
LCM(96280,96284) = 2317555880