What is the Least Common Multiple of 59889 and 59901?

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 59889 and 59901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59889 and 59901, than apply into the LCM equation.

GCF(59889,59901) = 3
LCM(59889,59901) = ( 59889 × 59901) / 3
LCM(59889,59901) = 3587410989 / 3
LCM(59889,59901) = 1195803663

Least Common Multiple (LCM) of 59889 and 59901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59889 and 59901. First we will calculate the prime factors of 59889 and 59901.

Prime Factorization of 59889

Prime Factorization of 59901

Now multiplying the highest exponent prime factors to calculate the LCM of 59889 and 59901.

LCM(59889,59901) = 3¹ × 19963¹ × 41¹ × 487¹
LCM(59889,59901) = 1195803663