What is the Least Common Multiple of 47025 and 47036?

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 47036 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 47036, than apply into the LCM equation.

GCF(47025,47036) = 11
LCM(47025,47036) = ( 47025 × 47036) / 11
LCM(47025,47036) = 2211867900 / 11
LCM(47025,47036) = 201078900

Least Common Multiple (LCM) of 47025 and 47036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47025 and 47036. First we will calculate the prime factors of 47025 and 47036.

Prime Factorization of 47025

Prime Factorization of 47036

Now multiplying the highest exponent prime factors to calculate the LCM of 47025 and 47036.

LCM(47025,47036) = 3² × 5² × 11¹ × 19¹ × 2² × 1069¹
LCM(47025,47036) = 201078900