What is the Least Common Multiple of 58538 and 58547?

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 58538 and 58547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58538 and 58547, than apply into the LCM equation.

GCF(58538,58547) = 1
LCM(58538,58547) = ( 58538 × 58547) / 1
LCM(58538,58547) = 3427224286 / 1
LCM(58538,58547) = 3427224286

Least Common Multiple (LCM) of 58538 and 58547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58538 and 58547. First we will calculate the prime factors of 58538 and 58547.

Prime Factorization of 58538

Prime Factorization of 58547

Now multiplying the highest exponent prime factors to calculate the LCM of 58538 and 58547.

LCM(58538,58547) = 2¹ × 29269¹ × 127¹ × 461¹
LCM(58538,58547) = 3427224286