What is the Least Common Multiple of 96305 and 96314?

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 96305 and 96314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96305 and 96314, than apply into the LCM equation.

GCF(96305,96314) = 1
LCM(96305,96314) = ( 96305 × 96314) / 1
LCM(96305,96314) = 9275519770 / 1
LCM(96305,96314) = 9275519770

Least Common Multiple (LCM) of 96305 and 96314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96305 and 96314. First we will calculate the prime factors of 96305 and 96314.

Prime Factorization of 96305

Prime Factorization of 96314

Now multiplying the highest exponent prime factors to calculate the LCM of 96305 and 96314.

LCM(96305,96314) = 5¹ × 11¹ × 17¹ × 103¹ × 2¹ × 48157¹
LCM(96305,96314) = 9275519770