What is the Least Common Multiple of 96219 and 96237?

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 96219 and 96237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96219 and 96237, than apply into the LCM equation.

GCF(96219,96237) = 9
LCM(96219,96237) = ( 96219 × 96237) / 9
LCM(96219,96237) = 9259827903 / 9
LCM(96219,96237) = 1028869767

Least Common Multiple (LCM) of 96219 and 96237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96219 and 96237. First we will calculate the prime factors of 96219 and 96237.

Prime Factorization of 96219

Prime Factorization of 96237

Now multiplying the highest exponent prime factors to calculate the LCM of 96219 and 96237.

LCM(96219,96237) = 3² × 10691¹ × 17² × 37¹
LCM(96219,96237) = 1028869767