What is the Least Common Multiple of 96238 and 96248?

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 96238 and 96248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96238 and 96248, than apply into the LCM equation.

GCF(96238,96248) = 2
LCM(96238,96248) = ( 96238 × 96248) / 2
LCM(96238,96248) = 9262715024 / 2
LCM(96238,96248) = 4631357512

Least Common Multiple (LCM) of 96238 and 96248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96238 and 96248. First we will calculate the prime factors of 96238 and 96248.

Prime Factorization of 96238

Prime Factorization of 96248

Now multiplying the highest exponent prime factors to calculate the LCM of 96238 and 96248.

LCM(96238,96248) = 2³ × 48119¹ × 53¹ × 227¹
LCM(96238,96248) = 4631357512