What is the Least Common Multiple of 58871 and 58887?

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 58871 and 58887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58871 and 58887, than apply into the LCM equation.

GCF(58871,58887) = 1
LCM(58871,58887) = ( 58871 × 58887) / 1
LCM(58871,58887) = 3466736577 / 1
LCM(58871,58887) = 3466736577

Least Common Multiple (LCM) of 58871 and 58887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58871 and 58887. First we will calculate the prime factors of 58871 and 58887.

Prime Factorization of 58871

Prime Factorization of 58887

Now multiplying the highest exponent prime factors to calculate the LCM of 58871 and 58887.

LCM(58871,58887) = 17¹ × 3463¹ × 3⁴ × 727¹
LCM(58871,58887) = 3466736577