What is the Least Common Multiple of 96212 and 96231?

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 96231 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 96231, than apply into the LCM equation.

GCF(96212,96231) = 1
LCM(96212,96231) = ( 96212 × 96231) / 1
LCM(96212,96231) = 9258576972 / 1
LCM(96212,96231) = 9258576972

Least Common Multiple (LCM) of 96212 and 96231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96212 and 96231. First we will calculate the prime factors of 96212 and 96231.

Prime Factorization of 96212

Prime Factorization of 96231

Now multiplying the highest exponent prime factors to calculate the LCM of 96212 and 96231.

LCM(96212,96231) = 2² × 67¹ × 359¹ × 3¹ × 32077¹
LCM(96212,96231) = 9258576972