What is the Least Common Multiple of 96330 and 96345?

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 96330 and 96345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96330 and 96345, than apply into the LCM equation.

GCF(96330,96345) = 15
LCM(96330,96345) = ( 96330 × 96345) / 15
LCM(96330,96345) = 9280913850 / 15
LCM(96330,96345) = 618727590

Least Common Multiple (LCM) of 96330 and 96345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96330 and 96345. First we will calculate the prime factors of 96330 and 96345.

Prime Factorization of 96330

Prime Factorization of 96345

Now multiplying the highest exponent prime factors to calculate the LCM of 96330 and 96345.

LCM(96330,96345) = 2¹ × 3² × 5¹ × 13² × 19¹ × 2141¹
LCM(96330,96345) = 618727590