What is the Least Common Multiple of 92305 and 92310?

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 92305 and 92310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92305 and 92310, than apply into the LCM equation.

GCF(92305,92310) = 5
LCM(92305,92310) = ( 92305 × 92310) / 5
LCM(92305,92310) = 8520674550 / 5
LCM(92305,92310) = 1704134910

Least Common Multiple (LCM) of 92305 and 92310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92305 and 92310. First we will calculate the prime factors of 92305 and 92310.

Prime Factorization of 92305

Prime Factorization of 92310

Now multiplying the highest exponent prime factors to calculate the LCM of 92305 and 92310.

LCM(92305,92310) = 5¹ × 18461¹ × 2¹ × 3¹ × 17¹ × 181¹
LCM(92305,92310) = 1704134910