What is the Least Common Multiple of 66006 and 66025?

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 66006 and 66025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66006 and 66025, than apply into the LCM equation.

GCF(66006,66025) = 19
LCM(66006,66025) = ( 66006 × 66025) / 19
LCM(66006,66025) = 4358046150 / 19
LCM(66006,66025) = 229370850

Least Common Multiple (LCM) of 66006 and 66025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66006 and 66025. First we will calculate the prime factors of 66006 and 66025.

Prime Factorization of 66006

Prime Factorization of 66025

Now multiplying the highest exponent prime factors to calculate the LCM of 66006 and 66025.

LCM(66006,66025) = 2¹ × 3² × 19¹ × 193¹ × 5² × 139¹
LCM(66006,66025) = 229370850