What is the Least Common Multiple of 14592 and 14612?

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 14612 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 14612, than apply into the LCM equation.

GCF(14592,14612) = 4
LCM(14592,14612) = ( 14592 × 14612) / 4
LCM(14592,14612) = 213218304 / 4
LCM(14592,14612) = 53304576

Least Common Multiple (LCM) of 14592 and 14612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14592 and 14612. First we will calculate the prime factors of 14592 and 14612.

Prime Factorization of 14592

Prime Factorization of 14612

Now multiplying the highest exponent prime factors to calculate the LCM of 14592 and 14612.

LCM(14592,14612) = 2⁸ × 3¹ × 19¹ × 13¹ × 281¹
LCM(14592,14612) = 53304576