What is the Least Common Multiple of 58586 and 58597?

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 58586 and 58597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58586 and 58597, than apply into the LCM equation.

GCF(58586,58597) = 11
LCM(58586,58597) = ( 58586 × 58597) / 11
LCM(58586,58597) = 3432963842 / 11
LCM(58586,58597) = 312087622

Least Common Multiple (LCM) of 58586 and 58597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58586 and 58597. First we will calculate the prime factors of 58586 and 58597.

Prime Factorization of 58586

Prime Factorization of 58597

Now multiplying the highest exponent prime factors to calculate the LCM of 58586 and 58597.

LCM(58586,58597) = 2¹ × 11¹ × 2663¹ × 7¹ × 761¹
LCM(58586,58597) = 312087622