What is the Least Common Multiple of 96212 and 96226?

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 96212 and 96226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96212 and 96226, than apply into the LCM equation.

GCF(96212,96226) = 2
LCM(96212,96226) = ( 96212 × 96226) / 2
LCM(96212,96226) = 9258095912 / 2
LCM(96212,96226) = 4629047956

Least Common Multiple (LCM) of 96212 and 96226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96212 and 96226. First we will calculate the prime factors of 96212 and 96226.

Prime Factorization of 96212

Prime Factorization of 96226

Now multiplying the highest exponent prime factors to calculate the LCM of 96212 and 96226.

LCM(96212,96226) = 2² × 67¹ × 359¹ × 13¹ × 3701¹
LCM(96212,96226) = 4629047956