What is the Least Common Multiple of 47104 and 47112?

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 47112 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 47112, than apply into the LCM equation.

GCF(47104,47112) = 8
LCM(47104,47112) = ( 47104 × 47112) / 8
LCM(47104,47112) = 2219163648 / 8
LCM(47104,47112) = 277395456

Least Common Multiple (LCM) of 47104 and 47112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47104 and 47112. First we will calculate the prime factors of 47104 and 47112.

Prime Factorization of 47104

Prime Factorization of 47112

Now multiplying the highest exponent prime factors to calculate the LCM of 47104 and 47112.

LCM(47104,47112) = 2¹¹ × 23¹ × 3¹ × 13¹ × 151¹
LCM(47104,47112) = 277395456