What is the Least Common Multiple of 66333 and 66348?

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 66333 and 66348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66333 and 66348, than apply into the LCM equation.

GCF(66333,66348) = 3
LCM(66333,66348) = ( 66333 × 66348) / 3
LCM(66333,66348) = 4401061884 / 3
LCM(66333,66348) = 1467020628

Least Common Multiple (LCM) of 66333 and 66348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66333 and 66348. First we will calculate the prime factors of 66333 and 66348.

Prime Factorization of 66333

Prime Factorization of 66348

Now multiplying the highest exponent prime factors to calculate the LCM of 66333 and 66348.

LCM(66333,66348) = 3² × 22111¹ × 2² × 19¹ × 97¹
LCM(66333,66348) = 1467020628