What is the Least Common Multiple of 32832 and 32842?

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 32832 and 32842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32832 and 32842, than apply into the LCM equation.

GCF(32832,32842) = 2
LCM(32832,32842) = ( 32832 × 32842) / 2
LCM(32832,32842) = 1078268544 / 2
LCM(32832,32842) = 539134272

Least Common Multiple (LCM) of 32832 and 32842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32832 and 32842. First we will calculate the prime factors of 32832 and 32842.

Prime Factorization of 32832

Prime Factorization of 32842

Now multiplying the highest exponent prime factors to calculate the LCM of 32832 and 32842.

LCM(32832,32842) = 2⁶ × 3³ × 19¹ × 16421¹
LCM(32832,32842) = 539134272