What is the Least Common Multiple of 96210 and 96227?

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 96210 and 96227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96210 and 96227, than apply into the LCM equation.

GCF(96210,96227) = 1
LCM(96210,96227) = ( 96210 × 96227) / 1
LCM(96210,96227) = 9257999670 / 1
LCM(96210,96227) = 9257999670

Least Common Multiple (LCM) of 96210 and 96227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96210 and 96227. First we will calculate the prime factors of 96210 and 96227.

Prime Factorization of 96210

Prime Factorization of 96227

Now multiplying the highest exponent prime factors to calculate the LCM of 96210 and 96227.

LCM(96210,96227) = 2¹ × 3² × 5¹ × 1069¹ × 41¹ × 2347¹
LCM(96210,96227) = 9257999670