What is the Least Common Multiple of 58201 and 58214?

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 58201 and 58214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58201 and 58214, than apply into the LCM equation.

GCF(58201,58214) = 13
LCM(58201,58214) = ( 58201 × 58214) / 13
LCM(58201,58214) = 3388113014 / 13
LCM(58201,58214) = 260624078

Least Common Multiple (LCM) of 58201 and 58214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58201 and 58214. First we will calculate the prime factors of 58201 and 58214.

Prime Factorization of 58201

Prime Factorization of 58214

Now multiplying the highest exponent prime factors to calculate the LCM of 58201 and 58214.

LCM(58201,58214) = 11² × 13¹ × 37¹ × 2¹ × 2239¹
LCM(58201,58214) = 260624078