What is the Least Common Multiple of 58873 and 58893?

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 58873 and 58893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58873 and 58893, than apply into the LCM equation.

GCF(58873,58893) = 1
LCM(58873,58893) = ( 58873 × 58893) / 1
LCM(58873,58893) = 3467207589 / 1
LCM(58873,58893) = 3467207589

Least Common Multiple (LCM) of 58873 and 58893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58873 and 58893. First we will calculate the prime factors of 58873 and 58893.

Prime Factorization of 58873

Prime Factorization of 58893

Now multiplying the highest exponent prime factors to calculate the LCM of 58873 and 58893.

LCM(58873,58893) = 113¹ × 521¹ × 3¹ × 67¹ × 293¹
LCM(58873,58893) = 3467207589