What is the Least Common Multiple of 47104 and 47113?

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 47104 and 47113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47104 and 47113, than apply into the LCM equation.

GCF(47104,47113) = 1
LCM(47104,47113) = ( 47104 × 47113) / 1
LCM(47104,47113) = 2219210752 / 1
LCM(47104,47113) = 2219210752

Least Common Multiple (LCM) of 47104 and 47113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47104 and 47113. First we will calculate the prime factors of 47104 and 47113.

Prime Factorization of 47104

Prime Factorization of 47113

Now multiplying the highest exponent prime factors to calculate the LCM of 47104 and 47113.

LCM(47104,47113) = 2¹¹ × 23¹ × 11¹ × 4283¹
LCM(47104,47113) = 2219210752