What is the Least Common Multiple of 91338 and 91353?

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 91338 and 91353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91338 and 91353, than apply into the LCM equation.

GCF(91338,91353) = 3
LCM(91338,91353) = ( 91338 × 91353) / 3
LCM(91338,91353) = 8344000314 / 3
LCM(91338,91353) = 2781333438

Least Common Multiple (LCM) of 91338 and 91353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91338 and 91353. First we will calculate the prime factors of 91338 and 91353.

Prime Factorization of 91338

Prime Factorization of 91353

Now multiplying the highest exponent prime factors to calculate the LCM of 91338 and 91353.

LCM(91338,91353) = 2¹ × 3¹ × 13¹ × 1171¹ × 37¹ × 823¹
LCM(91338,91353) = 2781333438