What is the Least Common Multiple of 59396 and 59401?

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 59396 and 59401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59396 and 59401, than apply into the LCM equation.

GCF(59396,59401) = 1
LCM(59396,59401) = ( 59396 × 59401) / 1
LCM(59396,59401) = 3528181796 / 1
LCM(59396,59401) = 3528181796

Least Common Multiple (LCM) of 59396 and 59401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59396 and 59401. First we will calculate the prime factors of 59396 and 59401.

Prime Factorization of 59396

Prime Factorization of 59401

Now multiplying the highest exponent prime factors to calculate the LCM of 59396 and 59401.

LCM(59396,59401) = 2² × 31¹ × 479¹ × 191¹ × 311¹
LCM(59396,59401) = 3528181796