What is the Least Common Multiple of 55025 and 55040?

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 55025 and 55040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55025 and 55040, than apply into the LCM equation.

GCF(55025,55040) = 5
LCM(55025,55040) = ( 55025 × 55040) / 5
LCM(55025,55040) = 3028576000 / 5
LCM(55025,55040) = 605715200

Least Common Multiple (LCM) of 55025 and 55040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55025 and 55040. First we will calculate the prime factors of 55025 and 55040.

Prime Factorization of 55025

Prime Factorization of 55040

Now multiplying the highest exponent prime factors to calculate the LCM of 55025 and 55040.

LCM(55025,55040) = 5² × 31¹ × 71¹ × 2⁸ × 43¹
LCM(55025,55040) = 605715200