What is the Least Common Multiple of 91314 and 91333?

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 91314 and 91333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91314 and 91333, than apply into the LCM equation.

GCF(91314,91333) = 19
LCM(91314,91333) = ( 91314 × 91333) / 19
LCM(91314,91333) = 8339981562 / 19
LCM(91314,91333) = 438946398

Least Common Multiple (LCM) of 91314 and 91333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91314 and 91333. First we will calculate the prime factors of 91314 and 91333.

Prime Factorization of 91314

Prime Factorization of 91333

Now multiplying the highest exponent prime factors to calculate the LCM of 91314 and 91333.

LCM(91314,91333) = 2¹ × 3³ × 19² × 89¹ × 11¹ × 23¹
LCM(91314,91333) = 438946398