What is the Least Common Multiple of 96280 and 96298?

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 96298 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 96298, than apply into the LCM equation.

GCF(96280,96298) = 2
LCM(96280,96298) = ( 96280 × 96298) / 2
LCM(96280,96298) = 9271571440 / 2
LCM(96280,96298) = 4635785720

Least Common Multiple (LCM) of 96280 and 96298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96280 and 96298. First we will calculate the prime factors of 96280 and 96298.

Prime Factorization of 96280

Prime Factorization of 96298

Now multiplying the highest exponent prime factors to calculate the LCM of 96280 and 96298.

LCM(96280,96298) = 2³ × 5¹ × 29¹ × 83¹ × 89¹ × 541¹
LCM(96280,96298) = 4635785720