What is the Least Common Multiple of 91794 and 91806?

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 91794 and 91806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91794 and 91806, than apply into the LCM equation.

GCF(91794,91806) = 6
LCM(91794,91806) = ( 91794 × 91806) / 6
LCM(91794,91806) = 8427239964 / 6
LCM(91794,91806) = 1404539994

Least Common Multiple (LCM) of 91794 and 91806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91794 and 91806. First we will calculate the prime factors of 91794 and 91806.

Prime Factorization of 91794

Prime Factorization of 91806

Now multiplying the highest exponent prime factors to calculate the LCM of 91794 and 91806.

LCM(91794,91806) = 2¹ × 3¹ × 15299¹ × 11¹ × 13¹ × 107¹
LCM(91794,91806) = 1404539994