What is the Least Common Multiple of 58189 and 58201?

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 58189 and 58201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58189 and 58201, than apply into the LCM equation.

GCF(58189,58201) = 1
LCM(58189,58201) = ( 58189 × 58201) / 1
LCM(58189,58201) = 3386657989 / 1
LCM(58189,58201) = 3386657989

Least Common Multiple (LCM) of 58189 and 58201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58189 and 58201. First we will calculate the prime factors of 58189 and 58201.

Prime Factorization of 58189

Prime Factorization of 58201

Now multiplying the highest exponent prime factors to calculate the LCM of 58189 and 58201.

LCM(58189,58201) = 58189¹ × 11² × 13¹ × 37¹
LCM(58189,58201) = 3386657989