What is the Least Common Multiple of 66069 and 66076?

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 66069 and 66076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66069 and 66076, than apply into the LCM equation.

GCF(66069,66076) = 1
LCM(66069,66076) = ( 66069 × 66076) / 1
LCM(66069,66076) = 4365575244 / 1
LCM(66069,66076) = 4365575244

Least Common Multiple (LCM) of 66069 and 66076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66069 and 66076. First we will calculate the prime factors of 66069 and 66076.

Prime Factorization of 66069

Prime Factorization of 66076

Now multiplying the highest exponent prime factors to calculate the LCM of 66069 and 66076.

LCM(66069,66076) = 3³ × 2447¹ × 2² × 16519¹
LCM(66069,66076) = 4365575244