What is the Least Common Multiple of 96234 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 96234 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 96234 and 96238, than apply into the LCM equation.

GCF(96234,96238) = 2
LCM(96234,96238) = ( 96234 × 96238) / 2
LCM(96234,96238) = 9261367692 / 2
LCM(96234,96238) = 4630683846

Least Common Multiple (LCM) of 96234 and 96238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96234 and 96238. First we will calculate the prime factors of 96234 and 96238.

Prime Factorization of 96234

Prime Factorization of 96238

Now multiplying the highest exponent prime factors to calculate the LCM of 96234 and 96238.

LCM(96234,96238) = 2¹ × 3¹ × 43¹ × 373¹ × 48119¹
LCM(96234,96238) = 4630683846