What is the Least Common Multiple of 92344 and 92359?

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 92344 and 92359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92344 and 92359, than apply into the LCM equation.

GCF(92344,92359) = 1
LCM(92344,92359) = ( 92344 × 92359) / 1
LCM(92344,92359) = 8528799496 / 1
LCM(92344,92359) = 8528799496

Least Common Multiple (LCM) of 92344 and 92359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92344 and 92359. First we will calculate the prime factors of 92344 and 92359.

Prime Factorization of 92344

Prime Factorization of 92359

Now multiplying the highest exponent prime factors to calculate the LCM of 92344 and 92359.

LCM(92344,92359) = 2³ × 7¹ × 17¹ × 97¹ × 19¹ × 4861¹
LCM(92344,92359) = 8528799496