What is the Least Common Multiple of 44430 and 44450?

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 44430 and 44450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44430 and 44450, than apply into the LCM equation.

GCF(44430,44450) = 10
LCM(44430,44450) = ( 44430 × 44450) / 10
LCM(44430,44450) = 1974913500 / 10
LCM(44430,44450) = 197491350

Least Common Multiple (LCM) of 44430 and 44450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44430 and 44450. First we will calculate the prime factors of 44430 and 44450.

Prime Factorization of 44430

Prime Factorization of 44450

Now multiplying the highest exponent prime factors to calculate the LCM of 44430 and 44450.

LCM(44430,44450) = 2¹ × 3¹ × 5² × 1481¹ × 7¹ × 127¹
LCM(44430,44450) = 197491350