What is the Least Common Multiple of 39330 and 39345?

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 39330 and 39345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39330 and 39345, than apply into the LCM equation.

GCF(39330,39345) = 15
LCM(39330,39345) = ( 39330 × 39345) / 15
LCM(39330,39345) = 1547438850 / 15
LCM(39330,39345) = 103162590

Least Common Multiple (LCM) of 39330 and 39345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39330 and 39345. First we will calculate the prime factors of 39330 and 39345.

Prime Factorization of 39330

Prime Factorization of 39345

Now multiplying the highest exponent prime factors to calculate the LCM of 39330 and 39345.

LCM(39330,39345) = 2¹ × 3² × 5¹ × 19¹ × 23¹ × 43¹ × 61¹
LCM(39330,39345) = 103162590