What is the Least Common Multiple of 32810 and 32826?

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 32810 and 32826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32810 and 32826, than apply into the LCM equation.

GCF(32810,32826) = 2
LCM(32810,32826) = ( 32810 × 32826) / 2
LCM(32810,32826) = 1077021060 / 2
LCM(32810,32826) = 538510530

Least Common Multiple (LCM) of 32810 and 32826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32810 and 32826. First we will calculate the prime factors of 32810 and 32826.

Prime Factorization of 32810

Prime Factorization of 32826

Now multiplying the highest exponent prime factors to calculate the LCM of 32810 and 32826.

LCM(32810,32826) = 2¹ × 5¹ × 17¹ × 193¹ × 3¹ × 5471¹
LCM(32810,32826) = 538510530