What is the Least Common Multiple of 40064 and 40076?

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 40076 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 40076, than apply into the LCM equation.

GCF(40064,40076) = 4
LCM(40064,40076) = ( 40064 × 40076) / 4
LCM(40064,40076) = 1605604864 / 4
LCM(40064,40076) = 401401216

Least Common Multiple (LCM) of 40064 and 40076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40064 and 40076. First we will calculate the prime factors of 40064 and 40076.

Prime Factorization of 40064

Prime Factorization of 40076

Now multiplying the highest exponent prime factors to calculate the LCM of 40064 and 40076.

LCM(40064,40076) = 2⁷ × 313¹ × 43¹ × 233¹
LCM(40064,40076) = 401401216