What is the Least Common Multiple of 41049 and 41064?

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 41064 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 41064, than apply into the LCM equation.

GCF(41049,41064) = 3
LCM(41049,41064) = ( 41049 × 41064) / 3
LCM(41049,41064) = 1685636136 / 3
LCM(41049,41064) = 561878712

Least Common Multiple (LCM) of 41049 and 41064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41049 and 41064. First we will calculate the prime factors of 41049 and 41064.

Prime Factorization of 41049

Prime Factorization of 41064

Now multiplying the highest exponent prime factors to calculate the LCM of 41049 and 41064.

LCM(41049,41064) = 3² × 4561¹ × 2³ × 29¹ × 59¹
LCM(41049,41064) = 561878712