What is the Least Common Multiple of 75330 and 75345?

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 75330 and 75345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75330 and 75345, than apply into the LCM equation.

GCF(75330,75345) = 15
LCM(75330,75345) = ( 75330 × 75345) / 15
LCM(75330,75345) = 5675738850 / 15
LCM(75330,75345) = 378382590

Least Common Multiple (LCM) of 75330 and 75345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75330 and 75345. First we will calculate the prime factors of 75330 and 75345.

Prime Factorization of 75330

Prime Factorization of 75345

Now multiplying the highest exponent prime factors to calculate the LCM of 75330 and 75345.

LCM(75330,75345) = 2¹ × 3⁵ × 5¹ × 31¹ × 5023¹
LCM(75330,75345) = 378382590