What is the Least Common Multiple of 68794 and 68811?

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 68794 and 68811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68794 and 68811, than apply into the LCM equation.

GCF(68794,68811) = 1
LCM(68794,68811) = ( 68794 × 68811) / 1
LCM(68794,68811) = 4733783934 / 1
LCM(68794,68811) = 4733783934

Least Common Multiple (LCM) of 68794 and 68811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68794 and 68811. First we will calculate the prime factors of 68794 and 68811.

Prime Factorization of 68794

Prime Factorization of 68811

Now multiplying the highest exponent prime factors to calculate the LCM of 68794 and 68811.

LCM(68794,68811) = 2¹ × 11¹ × 53¹ × 59¹ × 3¹ × 22937¹
LCM(68794,68811) = 4733783934