What is the Least Common Multiple of 47221 and 47230?

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 47221 and 47230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47221 and 47230, than apply into the LCM equation.

GCF(47221,47230) = 1
LCM(47221,47230) = ( 47221 × 47230) / 1
LCM(47221,47230) = 2230247830 / 1
LCM(47221,47230) = 2230247830

Least Common Multiple (LCM) of 47221 and 47230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47221 and 47230. First we will calculate the prime factors of 47221 and 47230.

Prime Factorization of 47221

Prime Factorization of 47230

Now multiplying the highest exponent prime factors to calculate the LCM of 47221 and 47230.

LCM(47221,47230) = 47221¹ × 2¹ × 5¹ × 4723¹
LCM(47221,47230) = 2230247830