What is the Least Common Multiple of 34768 and 34782?

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 34782 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 34782, than apply into the LCM equation.

GCF(34768,34782) = 2
LCM(34768,34782) = ( 34768 × 34782) / 2
LCM(34768,34782) = 1209300576 / 2
LCM(34768,34782) = 604650288

Least Common Multiple (LCM) of 34768 and 34782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34768 and 34782. First we will calculate the prime factors of 34768 and 34782.

Prime Factorization of 34768

Prime Factorization of 34782

Now multiplying the highest exponent prime factors to calculate the LCM of 34768 and 34782.

LCM(34768,34782) = 2⁴ × 41¹ × 53¹ × 3¹ × 11¹ × 17¹ × 31¹
LCM(34768,34782) = 604650288