What is the Least Common Multiple of 47286 and 47298?

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 47286 and 47298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47286 and 47298, than apply into the LCM equation.

GCF(47286,47298) = 6
LCM(47286,47298) = ( 47286 × 47298) / 6
LCM(47286,47298) = 2236533228 / 6
LCM(47286,47298) = 372755538

Least Common Multiple (LCM) of 47286 and 47298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47286 and 47298. First we will calculate the prime factors of 47286 and 47298.

Prime Factorization of 47286

Prime Factorization of 47298

Now multiplying the highest exponent prime factors to calculate the LCM of 47286 and 47298.

LCM(47286,47298) = 2¹ × 3² × 37¹ × 71¹ × 7883¹
LCM(47286,47298) = 372755538