What is the Least Common Multiple of 23274 and 23286?

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 23274 and 23286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23274 and 23286, than apply into the LCM equation.

GCF(23274,23286) = 6
LCM(23274,23286) = ( 23274 × 23286) / 6
LCM(23274,23286) = 541958364 / 6
LCM(23274,23286) = 90326394

Least Common Multiple (LCM) of 23274 and 23286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23274 and 23286. First we will calculate the prime factors of 23274 and 23286.

Prime Factorization of 23274

Prime Factorization of 23286

Now multiplying the highest exponent prime factors to calculate the LCM of 23274 and 23286.

LCM(23274,23286) = 2¹ × 3³ × 431¹ × 3881¹
LCM(23274,23286) = 90326394