What is the Least Common Multiple of 65064 and 65071?

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 65064 and 65071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65064 and 65071, than apply into the LCM equation.

GCF(65064,65071) = 1
LCM(65064,65071) = ( 65064 × 65071) / 1
LCM(65064,65071) = 4233779544 / 1
LCM(65064,65071) = 4233779544

Least Common Multiple (LCM) of 65064 and 65071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65064 and 65071. First we will calculate the prime factors of 65064 and 65071.

Prime Factorization of 65064

Prime Factorization of 65071

Now multiplying the highest exponent prime factors to calculate the LCM of 65064 and 65071.

LCM(65064,65071) = 2³ × 3¹ × 2711¹ × 65071¹
LCM(65064,65071) = 4233779544