What is the Least Common Multiple of 32767 and 32784?

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 32767 and 32784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32767 and 32784, than apply into the LCM equation.

GCF(32767,32784) = 1
LCM(32767,32784) = ( 32767 × 32784) / 1
LCM(32767,32784) = 1074233328 / 1
LCM(32767,32784) = 1074233328

Least Common Multiple (LCM) of 32767 and 32784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32767 and 32784. First we will calculate the prime factors of 32767 and 32784.

Prime Factorization of 32767

Prime Factorization of 32784

Now multiplying the highest exponent prime factors to calculate the LCM of 32767 and 32784.

LCM(32767,32784) = 7¹ × 31¹ × 151¹ × 2⁴ × 3¹ × 683¹
LCM(32767,32784) = 1074233328