What is the Least Common Multiple of 92838 and 92856?

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 92838 and 92856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92838 and 92856, than apply into the LCM equation.

GCF(92838,92856) = 6
LCM(92838,92856) = ( 92838 × 92856) / 6
LCM(92838,92856) = 8620565328 / 6
LCM(92838,92856) = 1436760888

Least Common Multiple (LCM) of 92838 and 92856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92838 and 92856. First we will calculate the prime factors of 92838 and 92856.

Prime Factorization of 92838

Prime Factorization of 92856

Now multiplying the highest exponent prime factors to calculate the LCM of 92838 and 92856.

LCM(92838,92856) = 2³ × 3¹ × 15473¹ × 53¹ × 73¹
LCM(92838,92856) = 1436760888