What is the Least Common Multiple of 34806 and 34826?

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 34806 and 34826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34806 and 34826, than apply into the LCM equation.

GCF(34806,34826) = 2
LCM(34806,34826) = ( 34806 × 34826) / 2
LCM(34806,34826) = 1212153756 / 2
LCM(34806,34826) = 606076878

Least Common Multiple (LCM) of 34806 and 34826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34806 and 34826. First we will calculate the prime factors of 34806 and 34826.

Prime Factorization of 34806

Prime Factorization of 34826

Now multiplying the highest exponent prime factors to calculate the LCM of 34806 and 34826.

LCM(34806,34826) = 2¹ × 3¹ × 5801¹ × 11¹ × 1583¹
LCM(34806,34826) = 606076878