What is the Least Common Multiple of 82032 and 82048?

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 82032 and 82048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82032 and 82048, than apply into the LCM equation.

GCF(82032,82048) = 16
LCM(82032,82048) = ( 82032 × 82048) / 16
LCM(82032,82048) = 6730561536 / 16
LCM(82032,82048) = 420660096

Least Common Multiple (LCM) of 82032 and 82048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82032 and 82048. First we will calculate the prime factors of 82032 and 82048.

Prime Factorization of 82032

Prime Factorization of 82048

Now multiplying the highest exponent prime factors to calculate the LCM of 82032 and 82048.

LCM(82032,82048) = 2⁷ × 3¹ × 1709¹ × 641¹
LCM(82032,82048) = 420660096