What is the Least Common Multiple of 96306 and 96320?

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 96306 and 96320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96306 and 96320, than apply into the LCM equation.

GCF(96306,96320) = 14
LCM(96306,96320) = ( 96306 × 96320) / 14
LCM(96306,96320) = 9276193920 / 14
LCM(96306,96320) = 662585280

Least Common Multiple (LCM) of 96306 and 96320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96306 and 96320. First we will calculate the prime factors of 96306 and 96320.

Prime Factorization of 96306

Prime Factorization of 96320

Now multiplying the highest exponent prime factors to calculate the LCM of 96306 and 96320.

LCM(96306,96320) = 2⁶ × 3¹ × 7¹ × 2293¹ × 5¹ × 43¹
LCM(96306,96320) = 662585280