What is the Least Common Multiple of 92768 and 92784?

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 92768 and 92784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92768 and 92784, than apply into the LCM equation.

GCF(92768,92784) = 16
LCM(92768,92784) = ( 92768 × 92784) / 16
LCM(92768,92784) = 8607386112 / 16
LCM(92768,92784) = 537961632

Least Common Multiple (LCM) of 92768 and 92784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92768 and 92784. First we will calculate the prime factors of 92768 and 92784.

Prime Factorization of 92768

Prime Factorization of 92784

Now multiplying the highest exponent prime factors to calculate the LCM of 92768 and 92784.

LCM(92768,92784) = 2⁵ × 13¹ × 223¹ × 3¹ × 1933¹
LCM(92768,92784) = 537961632