What is the Least Common Multiple of 93093 and 93113?

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 93093 and 93113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93093 and 93113, than apply into the LCM equation.

GCF(93093,93113) = 1
LCM(93093,93113) = ( 93093 × 93113) / 1
LCM(93093,93113) = 8668168509 / 1
LCM(93093,93113) = 8668168509

Least Common Multiple (LCM) of 93093 and 93113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93093 and 93113. First we will calculate the prime factors of 93093 and 93113.

Prime Factorization of 93093

Prime Factorization of 93113

Now multiplying the highest exponent prime factors to calculate the LCM of 93093 and 93113.

LCM(93093,93113) = 3¹ × 7¹ × 11¹ × 13¹ × 31¹ × 93113¹
LCM(93093,93113) = 8668168509