What is the Least Common Multiple of 57205 and 57222?

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 57205 and 57222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57205 and 57222, than apply into the LCM equation.

GCF(57205,57222) = 17
LCM(57205,57222) = ( 57205 × 57222) / 17
LCM(57205,57222) = 3273384510 / 17
LCM(57205,57222) = 192552030

Least Common Multiple (LCM) of 57205 and 57222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57205 and 57222. First we will calculate the prime factors of 57205 and 57222.

Prime Factorization of 57205

Prime Factorization of 57222

Now multiplying the highest exponent prime factors to calculate the LCM of 57205 and 57222.

LCM(57205,57222) = 5¹ × 17² × 673¹ × 2¹ × 3² × 11¹
LCM(57205,57222) = 192552030