What is the Least Common Multiple of 96330 and 96348?

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 96348 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 96348, than apply into the LCM equation.

GCF(96330,96348) = 6
LCM(96330,96348) = ( 96330 × 96348) / 6
LCM(96330,96348) = 9281202840 / 6
LCM(96330,96348) = 1546867140

Least Common Multiple (LCM) of 96330 and 96348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96330 and 96348. First we will calculate the prime factors of 96330 and 96348.

Prime Factorization of 96330

Prime Factorization of 96348

Now multiplying the highest exponent prime factors to calculate the LCM of 96330 and 96348.

LCM(96330,96348) = 2² × 3¹ × 5¹ × 13² × 19¹ × 7¹ × 31¹ × 37¹
LCM(96330,96348) = 1546867140