What is the Least Common Multiple of 47145 and 47150?

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 47145 and 47150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47145 and 47150, than apply into the LCM equation.

GCF(47145,47150) = 5
LCM(47145,47150) = ( 47145 × 47150) / 5
LCM(47145,47150) = 2222886750 / 5
LCM(47145,47150) = 444577350

Least Common Multiple (LCM) of 47145 and 47150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47145 and 47150. First we will calculate the prime factors of 47145 and 47150.

Prime Factorization of 47145

Prime Factorization of 47150

Now multiplying the highest exponent prime factors to calculate the LCM of 47145 and 47150.

LCM(47145,47150) = 3¹ × 5² × 7¹ × 449¹ × 2¹ × 23¹ × 41¹
LCM(47145,47150) = 444577350