What is the Least Common Multiple of 14592 and 14607?

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 14592 and 14607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14592 and 14607, than apply into the LCM equation.

GCF(14592,14607) = 3
LCM(14592,14607) = ( 14592 × 14607) / 3
LCM(14592,14607) = 213145344 / 3
LCM(14592,14607) = 71048448

Least Common Multiple (LCM) of 14592 and 14607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14592 and 14607. First we will calculate the prime factors of 14592 and 14607.

Prime Factorization of 14592

Prime Factorization of 14607

Now multiplying the highest exponent prime factors to calculate the LCM of 14592 and 14607.

LCM(14592,14607) = 2⁸ × 3³ × 19¹ × 541¹
LCM(14592,14607) = 71048448