What is the Least Common Multiple of 30234 and 30250?

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 30234 and 30250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30234 and 30250, than apply into the LCM equation.

GCF(30234,30250) = 2
LCM(30234,30250) = ( 30234 × 30250) / 2
LCM(30234,30250) = 914578500 / 2
LCM(30234,30250) = 457289250

Least Common Multiple (LCM) of 30234 and 30250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30234 and 30250. First we will calculate the prime factors of 30234 and 30250.

Prime Factorization of 30234

Prime Factorization of 30250

Now multiplying the highest exponent prime factors to calculate the LCM of 30234 and 30250.

LCM(30234,30250) = 2¹ × 3¹ × 5039¹ × 5³ × 11²
LCM(30234,30250) = 457289250