What is the Least Common Multiple of 59858 and 59870?

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 59858 and 59870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59858 and 59870, than apply into the LCM equation.

GCF(59858,59870) = 2
LCM(59858,59870) = ( 59858 × 59870) / 2
LCM(59858,59870) = 3583698460 / 2
LCM(59858,59870) = 1791849230

Least Common Multiple (LCM) of 59858 and 59870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59858 and 59870. First we will calculate the prime factors of 59858 and 59870.

Prime Factorization of 59858

Prime Factorization of 59870

Now multiplying the highest exponent prime factors to calculate the LCM of 59858 and 59870.

LCM(59858,59870) = 2¹ × 173² × 5¹ × 5987¹
LCM(59858,59870) = 1791849230