What is the Least Common Multiple of 92358 and 92369?

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 92358 and 92369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92358 and 92369, than apply into the LCM equation.

GCF(92358,92369) = 1
LCM(92358,92369) = ( 92358 × 92369) / 1
LCM(92358,92369) = 8531016102 / 1
LCM(92358,92369) = 8531016102

Least Common Multiple (LCM) of 92358 and 92369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92358 and 92369. First we will calculate the prime factors of 92358 and 92369.

Prime Factorization of 92358

Prime Factorization of 92369

Now multiplying the highest exponent prime factors to calculate the LCM of 92358 and 92369.

LCM(92358,92369) = 2¹ × 3² × 7¹ × 733¹ × 92369¹
LCM(92358,92369) = 8531016102