What is the Least Common Multiple of 44230 and 44250?

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 44230 and 44250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44230 and 44250, than apply into the LCM equation.

GCF(44230,44250) = 10
LCM(44230,44250) = ( 44230 × 44250) / 10
LCM(44230,44250) = 1957177500 / 10
LCM(44230,44250) = 195717750

Least Common Multiple (LCM) of 44230 and 44250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44230 and 44250. First we will calculate the prime factors of 44230 and 44250.

Prime Factorization of 44230

Prime Factorization of 44250

Now multiplying the highest exponent prime factors to calculate the LCM of 44230 and 44250.

LCM(44230,44250) = 2¹ × 5³ × 4423¹ × 3¹ × 59¹
LCM(44230,44250) = 195717750