What is the Least Common Multiple of 58544 and 58561?

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 58544 and 58561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58544 and 58561, than apply into the LCM equation.

GCF(58544,58561) = 1
LCM(58544,58561) = ( 58544 × 58561) / 1
LCM(58544,58561) = 3428395184 / 1
LCM(58544,58561) = 3428395184

Least Common Multiple (LCM) of 58544 and 58561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58544 and 58561. First we will calculate the prime factors of 58544 and 58561.

Prime Factorization of 58544

Prime Factorization of 58561

Now multiplying the highest exponent prime factors to calculate the LCM of 58544 and 58561.

LCM(58544,58561) = 2⁴ × 3659¹ × 157¹ × 373¹
LCM(58544,58561) = 3428395184