What is the Least Common Multiple of 47025 and 47044?

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 47025 and 47044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47025 and 47044, than apply into the LCM equation.

GCF(47025,47044) = 19
LCM(47025,47044) = ( 47025 × 47044) / 19
LCM(47025,47044) = 2212244100 / 19
LCM(47025,47044) = 116433900

Least Common Multiple (LCM) of 47025 and 47044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47025 and 47044. First we will calculate the prime factors of 47025 and 47044.

Prime Factorization of 47025

Prime Factorization of 47044

Now multiplying the highest exponent prime factors to calculate the LCM of 47025 and 47044.

LCM(47025,47044) = 3² × 5² × 11¹ × 19¹ × 2² × 619¹
LCM(47025,47044) = 116433900