What is the Least Common Multiple of 92325 and 92345?

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 92325 and 92345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92325 and 92345, than apply into the LCM equation.

GCF(92325,92345) = 5
LCM(92325,92345) = ( 92325 × 92345) / 5
LCM(92325,92345) = 8525752125 / 5
LCM(92325,92345) = 1705150425

Least Common Multiple (LCM) of 92325 and 92345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92325 and 92345. First we will calculate the prime factors of 92325 and 92345.

Prime Factorization of 92325

Prime Factorization of 92345

Now multiplying the highest exponent prime factors to calculate the LCM of 92325 and 92345.

LCM(92325,92345) = 3¹ × 5² × 1231¹ × 11¹ × 23¹ × 73¹
LCM(92325,92345) = 1705150425