What is the Least Common Multiple of 96220 and 96238?

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 96220 and 96238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96220 and 96238, than apply into the LCM equation.

GCF(96220,96238) = 2
LCM(96220,96238) = ( 96220 × 96238) / 2
LCM(96220,96238) = 9260020360 / 2
LCM(96220,96238) = 4630010180

Least Common Multiple (LCM) of 96220 and 96238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96220 and 96238. First we will calculate the prime factors of 96220 and 96238.

Prime Factorization of 96220

Prime Factorization of 96238

Now multiplying the highest exponent prime factors to calculate the LCM of 96220 and 96238.

LCM(96220,96238) = 2² × 5¹ × 17¹ × 283¹ × 48119¹
LCM(96220,96238) = 4630010180