What is the Least Common Multiple of 92312 and 92320?

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 92312 and 92320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92312 and 92320, than apply into the LCM equation.

GCF(92312,92320) = 8
LCM(92312,92320) = ( 92312 × 92320) / 8
LCM(92312,92320) = 8522243840 / 8
LCM(92312,92320) = 1065280480

Least Common Multiple (LCM) of 92312 and 92320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92312 and 92320. First we will calculate the prime factors of 92312 and 92320.

Prime Factorization of 92312

Prime Factorization of 92320

Now multiplying the highest exponent prime factors to calculate the LCM of 92312 and 92320.

LCM(92312,92320) = 2⁵ × 11¹ × 1049¹ × 5¹ × 577¹
LCM(92312,92320) = 1065280480