What is the Least Common Multiple of 91326 and 91335?

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 91326 and 91335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91326 and 91335, than apply into the LCM equation.

GCF(91326,91335) = 3
LCM(91326,91335) = ( 91326 × 91335) / 3
LCM(91326,91335) = 8341260210 / 3
LCM(91326,91335) = 2780420070

Least Common Multiple (LCM) of 91326 and 91335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91326 and 91335. First we will calculate the prime factors of 91326 and 91335.

Prime Factorization of 91326

Prime Factorization of 91335

Now multiplying the highest exponent prime factors to calculate the LCM of 91326 and 91335.

LCM(91326,91335) = 2¹ × 3¹ × 31¹ × 491¹ × 5¹ × 6089¹
LCM(91326,91335) = 2780420070