What is the Least Common Multiple of 32814 and 32832?

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 32814 and 32832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32814 and 32832, than apply into the LCM equation.

GCF(32814,32832) = 18
LCM(32814,32832) = ( 32814 × 32832) / 18
LCM(32814,32832) = 1077349248 / 18
LCM(32814,32832) = 59852736

Least Common Multiple (LCM) of 32814 and 32832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32814 and 32832. First we will calculate the prime factors of 32814 and 32832.

Prime Factorization of 32814

Prime Factorization of 32832

Now multiplying the highest exponent prime factors to calculate the LCM of 32814 and 32832.

LCM(32814,32832) = 2⁶ × 3³ × 1823¹ × 19¹
LCM(32814,32832) = 59852736