What is the Least Common Multiple of 14784 and 14792?

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 14784 and 14792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14784 and 14792, than apply into the LCM equation.

GCF(14784,14792) = 8
LCM(14784,14792) = ( 14784 × 14792) / 8
LCM(14784,14792) = 218684928 / 8
LCM(14784,14792) = 27335616

Least Common Multiple (LCM) of 14784 and 14792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14784 and 14792. First we will calculate the prime factors of 14784 and 14792.

Prime Factorization of 14784

Prime Factorization of 14792

Now multiplying the highest exponent prime factors to calculate the LCM of 14784 and 14792.

LCM(14784,14792) = 2⁶ × 3¹ × 7¹ × 11¹ × 43²
LCM(14784,14792) = 27335616