What is the Least Common Multiple of 59243 and 59258?

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 59243 and 59258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59243 and 59258, than apply into the LCM equation.

GCF(59243,59258) = 1
LCM(59243,59258) = ( 59243 × 59258) / 1
LCM(59243,59258) = 3510621694 / 1
LCM(59243,59258) = 3510621694

Least Common Multiple (LCM) of 59243 and 59258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59243 and 59258. First we will calculate the prime factors of 59243 and 59258.

Prime Factorization of 59243

Prime Factorization of 59258

Now multiplying the highest exponent prime factors to calculate the LCM of 59243 and 59258.

LCM(59243,59258) = 59243¹ × 2¹ × 29629¹
LCM(59243,59258) = 3510621694