What is the Least Common Multiple of 57210 and 57223?

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 57223 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 57223, than apply into the LCM equation.

GCF(57210,57223) = 1
LCM(57210,57223) = ( 57210 × 57223) / 1
LCM(57210,57223) = 3273727830 / 1
LCM(57210,57223) = 3273727830

Least Common Multiple (LCM) of 57210 and 57223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57210 and 57223. First we will calculate the prime factors of 57210 and 57223.

Prime Factorization of 57210

Prime Factorization of 57223

Now multiplying the highest exponent prime factors to calculate the LCM of 57210 and 57223.

LCM(57210,57223) = 2¹ × 3¹ × 5¹ × 1907¹ × 57223¹
LCM(57210,57223) = 3273727830