What is the Least Common Multiple of 44150 and 44170?

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 44150 and 44170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44150 and 44170, than apply into the LCM equation.

GCF(44150,44170) = 10
LCM(44150,44170) = ( 44150 × 44170) / 10
LCM(44150,44170) = 1950105500 / 10
LCM(44150,44170) = 195010550

Least Common Multiple (LCM) of 44150 and 44170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44150 and 44170. First we will calculate the prime factors of 44150 and 44170.

Prime Factorization of 44150

Prime Factorization of 44170

Now multiplying the highest exponent prime factors to calculate the LCM of 44150 and 44170.

LCM(44150,44170) = 2¹ × 5² × 883¹ × 7¹ × 631¹
LCM(44150,44170) = 195010550