What is the Least Common Multiple of 47206 and 47226?

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 47206 and 47226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47206 and 47226, than apply into the LCM equation.

GCF(47206,47226) = 2
LCM(47206,47226) = ( 47206 × 47226) / 2
LCM(47206,47226) = 2229350556 / 2
LCM(47206,47226) = 1114675278

Least Common Multiple (LCM) of 47206 and 47226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47206 and 47226. First we will calculate the prime factors of 47206 and 47226.

Prime Factorization of 47206

Prime Factorization of 47226

Now multiplying the highest exponent prime factors to calculate the LCM of 47206 and 47226.

LCM(47206,47226) = 2¹ × 23603¹ × 3¹ × 17¹ × 463¹
LCM(47206,47226) = 1114675278