What is the Least Common Multiple of 91065 and 91083?

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 91065 and 91083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91065 and 91083, than apply into the LCM equation.

GCF(91065,91083) = 3
LCM(91065,91083) = ( 91065 × 91083) / 3
LCM(91065,91083) = 8294473395 / 3
LCM(91065,91083) = 2764824465

Least Common Multiple (LCM) of 91065 and 91083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91065 and 91083. First we will calculate the prime factors of 91065 and 91083.

Prime Factorization of 91065

Prime Factorization of 91083

Now multiplying the highest exponent prime factors to calculate the LCM of 91065 and 91083.

LCM(91065,91083) = 3¹ × 5¹ × 13¹ × 467¹ × 97¹ × 313¹
LCM(91065,91083) = 2764824465