What is the Least Common Multiple of 66330 and 66345?

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 66330 and 66345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66330 and 66345, than apply into the LCM equation.

GCF(66330,66345) = 15
LCM(66330,66345) = ( 66330 × 66345) / 15
LCM(66330,66345) = 4400663850 / 15
LCM(66330,66345) = 293377590

Least Common Multiple (LCM) of 66330 and 66345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66330 and 66345. First we will calculate the prime factors of 66330 and 66345.

Prime Factorization of 66330

Prime Factorization of 66345

Now multiplying the highest exponent prime factors to calculate the LCM of 66330 and 66345.

LCM(66330,66345) = 2¹ × 3² × 5¹ × 11¹ × 67¹ × 4423¹
LCM(66330,66345) = 293377590