What is the Least Common Multiple of 47188 and 47201?

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 47188 and 47201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47188 and 47201, than apply into the LCM equation.

GCF(47188,47201) = 1
LCM(47188,47201) = ( 47188 × 47201) / 1
LCM(47188,47201) = 2227320788 / 1
LCM(47188,47201) = 2227320788

Least Common Multiple (LCM) of 47188 and 47201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47188 and 47201. First we will calculate the prime factors of 47188 and 47201.

Prime Factorization of 47188

Prime Factorization of 47201

Now multiplying the highest exponent prime factors to calculate the LCM of 47188 and 47201.

LCM(47188,47201) = 2² × 47¹ × 251¹ × 7¹ × 11¹ × 613¹
LCM(47188,47201) = 2227320788