What is the Least Common Multiple of 96274 and 96293?

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 96274 and 96293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96274 and 96293, than apply into the LCM equation.

GCF(96274,96293) = 1
LCM(96274,96293) = ( 96274 × 96293) / 1
LCM(96274,96293) = 9270512282 / 1
LCM(96274,96293) = 9270512282

Least Common Multiple (LCM) of 96274 and 96293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96274 and 96293. First we will calculate the prime factors of 96274 and 96293.

Prime Factorization of 96274

Prime Factorization of 96293

Now multiplying the highest exponent prime factors to calculate the LCM of 96274 and 96293.

LCM(96274,96293) = 2¹ × 37¹ × 1301¹ × 96293¹
LCM(96274,96293) = 9270512282