What is the Least Common Multiple of 36064 and 36071?

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 36064 and 36071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36064 and 36071, than apply into the LCM equation.

GCF(36064,36071) = 7
LCM(36064,36071) = ( 36064 × 36071) / 7
LCM(36064,36071) = 1300864544 / 7
LCM(36064,36071) = 185837792

Least Common Multiple (LCM) of 36064 and 36071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36064 and 36071. First we will calculate the prime factors of 36064 and 36071.

Prime Factorization of 36064

Prime Factorization of 36071

Now multiplying the highest exponent prime factors to calculate the LCM of 36064 and 36071.

LCM(36064,36071) = 2⁵ × 7² × 23¹ × 5153¹
LCM(36064,36071) = 185837792