What is the Least Common Multiple of 57210 and 57219?

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 57219 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 57219, than apply into the LCM equation.

GCF(57210,57219) = 3
LCM(57210,57219) = ( 57210 × 57219) / 3
LCM(57210,57219) = 3273498990 / 3
LCM(57210,57219) = 1091166330

Least Common Multiple (LCM) of 57210 and 57219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57210 and 57219. First we will calculate the prime factors of 57210 and 57219.

Prime Factorization of 57210

Prime Factorization of 57219

Now multiplying the highest exponent prime factors to calculate the LCM of 57210 and 57219.

LCM(57210,57219) = 2¹ × 3¹ × 5¹ × 1907¹ × 19073¹
LCM(57210,57219) = 1091166330