What is the Least Common Multiple of 41064 and 41072?

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 41072 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 41072, than apply into the LCM equation.

GCF(41064,41072) = 8
LCM(41064,41072) = ( 41064 × 41072) / 8
LCM(41064,41072) = 1686580608 / 8
LCM(41064,41072) = 210822576

Least Common Multiple (LCM) of 41064 and 41072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41064 and 41072. First we will calculate the prime factors of 41064 and 41072.

Prime Factorization of 41064

Prime Factorization of 41072

Now multiplying the highest exponent prime factors to calculate the LCM of 41064 and 41072.

LCM(41064,41072) = 2⁴ × 3¹ × 29¹ × 59¹ × 17¹ × 151¹
LCM(41064,41072) = 210822576