What is the Least Common Multiple of 96306 and 96321?

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 96321 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 96321, than apply into the LCM equation.

GCF(96306,96321) = 3
LCM(96306,96321) = ( 96306 × 96321) / 3
LCM(96306,96321) = 9276290226 / 3
LCM(96306,96321) = 3092096742

Least Common Multiple (LCM) of 96306 and 96321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96306 and 96321. First we will calculate the prime factors of 96306 and 96321.

Prime Factorization of 96306

Prime Factorization of 96321

Now multiplying the highest exponent prime factors to calculate the LCM of 96306 and 96321.

LCM(96306,96321) = 2¹ × 3¹ × 7¹ × 2293¹ × 97¹ × 331¹
LCM(96306,96321) = 3092096742