What is the Least Common Multiple of 92338 and 92346?

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 92338 and 92346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92338 and 92346, than apply into the LCM equation.

GCF(92338,92346) = 2
LCM(92338,92346) = ( 92338 × 92346) / 2
LCM(92338,92346) = 8527044948 / 2
LCM(92338,92346) = 4263522474

Least Common Multiple (LCM) of 92338 and 92346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92338 and 92346. First we will calculate the prime factors of 92338 and 92346.

Prime Factorization of 92338

Prime Factorization of 92346

Now multiplying the highest exponent prime factors to calculate the LCM of 92338 and 92346.

LCM(92338,92346) = 2¹ × 137¹ × 337¹ × 3¹ × 15391¹
LCM(92338,92346) = 4263522474