What is the Least Common Multiple of 92274 and 92281?

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 92274 and 92281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92274 and 92281, than apply into the LCM equation.

GCF(92274,92281) = 7
LCM(92274,92281) = ( 92274 × 92281) / 7
LCM(92274,92281) = 8515136994 / 7
LCM(92274,92281) = 1216448142

Least Common Multiple (LCM) of 92274 and 92281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92274 and 92281. First we will calculate the prime factors of 92274 and 92281.

Prime Factorization of 92274

Prime Factorization of 92281

Now multiplying the highest exponent prime factors to calculate the LCM of 92274 and 92281.

LCM(92274,92281) = 2¹ × 3¹ × 7¹ × 13³ × 13183¹
LCM(92274,92281) = 1216448142