What is the Least Common Multiple of 92376 and 92393?

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 92376 and 92393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92376 and 92393, than apply into the LCM equation.

GCF(92376,92393) = 1
LCM(92376,92393) = ( 92376 × 92393) / 1
LCM(92376,92393) = 8534895768 / 1
LCM(92376,92393) = 8534895768

Least Common Multiple (LCM) of 92376 and 92393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92376 and 92393. First we will calculate the prime factors of 92376 and 92393.

Prime Factorization of 92376

Prime Factorization of 92393

Now multiplying the highest exponent prime factors to calculate the LCM of 92376 and 92393.

LCM(92376,92393) = 2³ × 3² × 1283¹ × 7¹ × 67¹ × 197¹
LCM(92376,92393) = 8534895768