What is the Least Common Multiple of 47214 and 47233?

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 47214 and 47233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47214 and 47233, than apply into the LCM equation.

GCF(47214,47233) = 1
LCM(47214,47233) = ( 47214 × 47233) / 1
LCM(47214,47233) = 2230058862 / 1
LCM(47214,47233) = 2230058862

Least Common Multiple (LCM) of 47214 and 47233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47214 and 47233. First we will calculate the prime factors of 47214 and 47233.

Prime Factorization of 47214

Prime Factorization of 47233

Now multiplying the highest exponent prime factors to calculate the LCM of 47214 and 47233.

LCM(47214,47233) = 2¹ × 3² × 43¹ × 61¹ × 149¹ × 317¹
LCM(47214,47233) = 2230058862