What is the Least Common Multiple of 96314 and 96327?

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 96314 and 96327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96314 and 96327, than apply into the LCM equation.

GCF(96314,96327) = 1
LCM(96314,96327) = ( 96314 × 96327) / 1
LCM(96314,96327) = 9277638678 / 1
LCM(96314,96327) = 9277638678

Least Common Multiple (LCM) of 96314 and 96327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96314 and 96327. First we will calculate the prime factors of 96314 and 96327.

Prime Factorization of 96314

Prime Factorization of 96327

Now multiplying the highest exponent prime factors to calculate the LCM of 96314 and 96327.

LCM(96314,96327) = 2¹ × 48157¹ × 3² × 7¹ × 11¹ × 139¹
LCM(96314,96327) = 9277638678