What is the Least Common Multiple of 57213 and 57225?

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 57213 and 57225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57213 and 57225, than apply into the LCM equation.

GCF(57213,57225) = 3
LCM(57213,57225) = ( 57213 × 57225) / 3
LCM(57213,57225) = 3274013925 / 3
LCM(57213,57225) = 1091337975

Least Common Multiple (LCM) of 57213 and 57225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57213 and 57225. First we will calculate the prime factors of 57213 and 57225.

Prime Factorization of 57213

Prime Factorization of 57225

Now multiplying the highest exponent prime factors to calculate the LCM of 57213 and 57225.

LCM(57213,57225) = 3³ × 13¹ × 163¹ × 5² × 7¹ × 109¹
LCM(57213,57225) = 1091337975