What is the Least Common Multiple of 92295 and 92303?

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 92295 and 92303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92295 and 92303, than apply into the LCM equation.

GCF(92295,92303) = 1
LCM(92295,92303) = ( 92295 × 92303) / 1
LCM(92295,92303) = 8519105385 / 1
LCM(92295,92303) = 8519105385

Least Common Multiple (LCM) of 92295 and 92303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92295 and 92303. First we will calculate the prime factors of 92295 and 92303.

Prime Factorization of 92295

Prime Factorization of 92303

Now multiplying the highest exponent prime factors to calculate the LCM of 92295 and 92303.

LCM(92295,92303) = 3² × 5¹ × 7¹ × 293¹ × 241¹ × 383¹
LCM(92295,92303) = 8519105385