What is the Least Common Multiple of 41049 and 41066?

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 41049 and 41066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41049 and 41066, than apply into the LCM equation.

GCF(41049,41066) = 1
LCM(41049,41066) = ( 41049 × 41066) / 1
LCM(41049,41066) = 1685718234 / 1
LCM(41049,41066) = 1685718234

Least Common Multiple (LCM) of 41049 and 41066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41049 and 41066. First we will calculate the prime factors of 41049 and 41066.

Prime Factorization of 41049

Prime Factorization of 41066

Now multiplying the highest exponent prime factors to calculate the LCM of 41049 and 41066.

LCM(41049,41066) = 3² × 4561¹ × 2¹ × 20533¹
LCM(41049,41066) = 1685718234