What is the Least Common Multiple of 32832 and 32836?

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 32836 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 32836, than apply into the LCM equation.

GCF(32832,32836) = 4
LCM(32832,32836) = ( 32832 × 32836) / 4
LCM(32832,32836) = 1078071552 / 4
LCM(32832,32836) = 269517888

Least Common Multiple (LCM) of 32832 and 32836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32832 and 32836. First we will calculate the prime factors of 32832 and 32836.

Prime Factorization of 32832

Prime Factorization of 32836

Now multiplying the highest exponent prime factors to calculate the LCM of 32832 and 32836.

LCM(32832,32836) = 2⁶ × 3³ × 19¹ × 8209¹
LCM(32832,32836) = 269517888