What is the Least Common Multiple of 91790 and 91810?

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 91790 and 91810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91790 and 91810, than apply into the LCM equation.

GCF(91790,91810) = 10
LCM(91790,91810) = ( 91790 × 91810) / 10
LCM(91790,91810) = 8427239900 / 10
LCM(91790,91810) = 842723990

Least Common Multiple (LCM) of 91790 and 91810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91790 and 91810. First we will calculate the prime factors of 91790 and 91810.

Prime Factorization of 91790

Prime Factorization of 91810

Now multiplying the highest exponent prime factors to calculate the LCM of 91790 and 91810.

LCM(91790,91810) = 2¹ × 5¹ × 67¹ × 137¹ × 9181¹
LCM(91790,91810) = 842723990