What is the Least Common Multiple of 40064 and 40071?

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 40064 and 40071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40064 and 40071, than apply into the LCM equation.

GCF(40064,40071) = 1
LCM(40064,40071) = ( 40064 × 40071) / 1
LCM(40064,40071) = 1605404544 / 1
LCM(40064,40071) = 1605404544

Least Common Multiple (LCM) of 40064 and 40071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40064 and 40071. First we will calculate the prime factors of 40064 and 40071.

Prime Factorization of 40064

Prime Factorization of 40071

Now multiplying the highest exponent prime factors to calculate the LCM of 40064 and 40071.

LCM(40064,40071) = 2⁷ × 313¹ × 3¹ × 19² × 37¹
LCM(40064,40071) = 1605404544