What is the Least Common Multiple of 58854 and 58873?

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 58854 and 58873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58854 and 58873, than apply into the LCM equation.

GCF(58854,58873) = 1
LCM(58854,58873) = ( 58854 × 58873) / 1
LCM(58854,58873) = 3464911542 / 1
LCM(58854,58873) = 3464911542

Least Common Multiple (LCM) of 58854 and 58873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58854 and 58873. First we will calculate the prime factors of 58854 and 58873.

Prime Factorization of 58854

Prime Factorization of 58873

Now multiplying the highest exponent prime factors to calculate the LCM of 58854 and 58873.

LCM(58854,58873) = 2¹ × 3¹ × 17¹ × 577¹ × 113¹ × 521¹
LCM(58854,58873) = 3464911542