What is the Least Common Multiple of 32782 and 32786?

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 32782 and 32786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32782 and 32786, than apply into the LCM equation.

GCF(32782,32786) = 2
LCM(32782,32786) = ( 32782 × 32786) / 2
LCM(32782,32786) = 1074790652 / 2
LCM(32782,32786) = 537395326

Least Common Multiple (LCM) of 32782 and 32786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32782 and 32786. First we will calculate the prime factors of 32782 and 32786.

Prime Factorization of 32782

Prime Factorization of 32786

Now multiplying the highest exponent prime factors to calculate the LCM of 32782 and 32786.

LCM(32782,32786) = 2¹ × 37¹ × 443¹ × 13² × 97¹
LCM(32782,32786) = 537395326