What is the Least Common Multiple of 92295 and 92304?

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 92304 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 92304, than apply into the LCM equation.

GCF(92295,92304) = 9
LCM(92295,92304) = ( 92295 × 92304) / 9
LCM(92295,92304) = 8519197680 / 9
LCM(92295,92304) = 946577520

Least Common Multiple (LCM) of 92295 and 92304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92295 and 92304. First we will calculate the prime factors of 92295 and 92304.

Prime Factorization of 92295

Prime Factorization of 92304

Now multiplying the highest exponent prime factors to calculate the LCM of 92295 and 92304.

LCM(92295,92304) = 3² × 5¹ × 7¹ × 293¹ × 2⁴ × 641¹
LCM(92295,92304) = 946577520