What is the Least Common Multiple of 34794 and 34810?

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 34794 and 34810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34794 and 34810, than apply into the LCM equation.

GCF(34794,34810) = 2
LCM(34794,34810) = ( 34794 × 34810) / 2
LCM(34794,34810) = 1211179140 / 2
LCM(34794,34810) = 605589570

Least Common Multiple (LCM) of 34794 and 34810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34794 and 34810. First we will calculate the prime factors of 34794 and 34810.

Prime Factorization of 34794

Prime Factorization of 34810

Now multiplying the highest exponent prime factors to calculate the LCM of 34794 and 34810.

LCM(34794,34810) = 2¹ × 3² × 1933¹ × 5¹ × 59²
LCM(34794,34810) = 605589570