What is the Least Common Multiple of 57210 and 57217?

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 57210 and 57217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57210 and 57217, than apply into the LCM equation.

GCF(57210,57217) = 1
LCM(57210,57217) = ( 57210 × 57217) / 1
LCM(57210,57217) = 3273384570 / 1
LCM(57210,57217) = 3273384570

Least Common Multiple (LCM) of 57210 and 57217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57210 and 57217. First we will calculate the prime factors of 57210 and 57217.

Prime Factorization of 57210

Prime Factorization of 57217

Now multiplying the highest exponent prime factors to calculate the LCM of 57210 and 57217.

LCM(57210,57217) = 2¹ × 3¹ × 5¹ × 1907¹ × 29¹ × 1973¹
LCM(57210,57217) = 3273384570