What is the Least Common Multiple of 91323 and 91338?

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 91323 and 91338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91323 and 91338, than apply into the LCM equation.

GCF(91323,91338) = 3
LCM(91323,91338) = ( 91323 × 91338) / 3
LCM(91323,91338) = 8341260174 / 3
LCM(91323,91338) = 2780420058

Least Common Multiple (LCM) of 91323 and 91338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91323 and 91338. First we will calculate the prime factors of 91323 and 91338.

Prime Factorization of 91323

Prime Factorization of 91338

Now multiplying the highest exponent prime factors to calculate the LCM of 91323 and 91338.

LCM(91323,91338) = 3² × 73¹ × 139¹ × 2¹ × 13¹ × 1171¹
LCM(91323,91338) = 2780420058