What is the Least Common Multiple of 41064 and 41078?

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 41064 and 41078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41064 and 41078, than apply into the LCM equation.

GCF(41064,41078) = 2
LCM(41064,41078) = ( 41064 × 41078) / 2
LCM(41064,41078) = 1686826992 / 2
LCM(41064,41078) = 843413496

Least Common Multiple (LCM) of 41064 and 41078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41064 and 41078. First we will calculate the prime factors of 41064 and 41078.

Prime Factorization of 41064

Prime Factorization of 41078

Now multiplying the highest exponent prime factors to calculate the LCM of 41064 and 41078.

LCM(41064,41078) = 2³ × 3¹ × 29¹ × 59¹ × 19¹ × 23¹ × 47¹
LCM(41064,41078) = 843413496