What is the Least Common Multiple of 66025 and 66044?

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 66025 and 66044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66025 and 66044, than apply into the LCM equation.

GCF(66025,66044) = 19
LCM(66025,66044) = ( 66025 × 66044) / 19
LCM(66025,66044) = 4360555100 / 19
LCM(66025,66044) = 229502900

Least Common Multiple (LCM) of 66025 and 66044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66025 and 66044. First we will calculate the prime factors of 66025 and 66044.

Prime Factorization of 66025

Prime Factorization of 66044

Now multiplying the highest exponent prime factors to calculate the LCM of 66025 and 66044.

LCM(66025,66044) = 5² × 19¹ × 139¹ × 2² × 11¹ × 79¹
LCM(66025,66044) = 229502900