What is the Least Common Multiple of 92798 and 92812?

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 92798 and 92812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92798 and 92812, than apply into the LCM equation.

GCF(92798,92812) = 2
LCM(92798,92812) = ( 92798 × 92812) / 2
LCM(92798,92812) = 8612767976 / 2
LCM(92798,92812) = 4306383988

Least Common Multiple (LCM) of 92798 and 92812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92798 and 92812. First we will calculate the prime factors of 92798 and 92812.

Prime Factorization of 92798

Prime Factorization of 92812

Now multiplying the highest exponent prime factors to calculate the LCM of 92798 and 92812.

LCM(92798,92812) = 2² × 46399¹ × 23203¹
LCM(92798,92812) = 4306383988