What is the Least Common Multiple of 34768 and 34784?

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 34768 and 34784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34768 and 34784, than apply into the LCM equation.

GCF(34768,34784) = 16
LCM(34768,34784) = ( 34768 × 34784) / 16
LCM(34768,34784) = 1209370112 / 16
LCM(34768,34784) = 75585632

Least Common Multiple (LCM) of 34768 and 34784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34768 and 34784. First we will calculate the prime factors of 34768 and 34784.

Prime Factorization of 34768

Prime Factorization of 34784

Now multiplying the highest exponent prime factors to calculate the LCM of 34768 and 34784.

LCM(34768,34784) = 2⁵ × 41¹ × 53¹ × 1087¹
LCM(34768,34784) = 75585632