What is the Least Common Multiple of 43230 and 43250?

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 43230 and 43250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43230 and 43250, than apply into the LCM equation.

GCF(43230,43250) = 10
LCM(43230,43250) = ( 43230 × 43250) / 10
LCM(43230,43250) = 1869697500 / 10
LCM(43230,43250) = 186969750

Least Common Multiple (LCM) of 43230 and 43250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43230 and 43250. First we will calculate the prime factors of 43230 and 43250.

Prime Factorization of 43230

Prime Factorization of 43250

Now multiplying the highest exponent prime factors to calculate the LCM of 43230 and 43250.

LCM(43230,43250) = 2¹ × 3¹ × 5³ × 11¹ × 131¹ × 173¹
LCM(43230,43250) = 186969750