What is the Least Common Multiple of 43104 and 43112?

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 43104 and 43112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43104 and 43112, than apply into the LCM equation.

GCF(43104,43112) = 8
LCM(43104,43112) = ( 43104 × 43112) / 8
LCM(43104,43112) = 1858299648 / 8
LCM(43104,43112) = 232287456

Least Common Multiple (LCM) of 43104 and 43112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43104 and 43112. First we will calculate the prime factors of 43104 and 43112.

Prime Factorization of 43104

Prime Factorization of 43112

Now multiplying the highest exponent prime factors to calculate the LCM of 43104 and 43112.

LCM(43104,43112) = 2⁵ × 3¹ × 449¹ × 17¹ × 317¹
LCM(43104,43112) = 232287456