What is the Least Common Multiple of 92355 and 92373?

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 92355 and 92373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92355 and 92373, than apply into the LCM equation.

GCF(92355,92373) = 3
LCM(92355,92373) = ( 92355 × 92373) / 3
LCM(92355,92373) = 8531108415 / 3
LCM(92355,92373) = 2843702805

Least Common Multiple (LCM) of 92355 and 92373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92355 and 92373. First we will calculate the prime factors of 92355 and 92373.

Prime Factorization of 92355

Prime Factorization of 92373

Now multiplying the highest exponent prime factors to calculate the LCM of 92355 and 92373.

LCM(92355,92373) = 3¹ × 5¹ × 47¹ × 131¹ × 41¹ × 751¹
LCM(92355,92373) = 2843702805