What is the Least Common Multiple of 58098 and 58113?

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 58098 and 58113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58098 and 58113, than apply into the LCM equation.

GCF(58098,58113) = 3
LCM(58098,58113) = ( 58098 × 58113) / 3
LCM(58098,58113) = 3376249074 / 3
LCM(58098,58113) = 1125416358

Least Common Multiple (LCM) of 58098 and 58113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58098 and 58113. First we will calculate the prime factors of 58098 and 58113.

Prime Factorization of 58098

Prime Factorization of 58113

Now multiplying the highest exponent prime factors to calculate the LCM of 58098 and 58113.

LCM(58098,58113) = 2¹ × 3² × 23¹ × 421¹ × 11¹ × 587¹
LCM(58098,58113) = 1125416358