What is the Least Common Multiple of 56025 and 56040?

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 56025 and 56040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56025 and 56040, than apply into the LCM equation.

GCF(56025,56040) = 15
LCM(56025,56040) = ( 56025 × 56040) / 15
LCM(56025,56040) = 3139641000 / 15
LCM(56025,56040) = 209309400

Least Common Multiple (LCM) of 56025 and 56040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56025 and 56040. First we will calculate the prime factors of 56025 and 56040.

Prime Factorization of 56025

Prime Factorization of 56040

Now multiplying the highest exponent prime factors to calculate the LCM of 56025 and 56040.

LCM(56025,56040) = 3³ × 5² × 83¹ × 2³ × 467¹
LCM(56025,56040) = 209309400