What is the Least Common Multiple of 96330 and 96339?

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 96339 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 96339, than apply into the LCM equation.

GCF(96330,96339) = 3
LCM(96330,96339) = ( 96330 × 96339) / 3
LCM(96330,96339) = 9280335870 / 3
LCM(96330,96339) = 3093445290

Least Common Multiple (LCM) of 96330 and 96339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96330 and 96339. First we will calculate the prime factors of 96330 and 96339.

Prime Factorization of 96330

Prime Factorization of 96339

Now multiplying the highest exponent prime factors to calculate the LCM of 96330 and 96339.

LCM(96330,96339) = 2¹ × 3¹ × 5¹ × 13² × 19¹ × 17¹ × 1889¹
LCM(96330,96339) = 3093445290