What is the Least Common Multiple of 58889 and 58903?

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 58889 and 58903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58889 and 58903, than apply into the LCM equation.

GCF(58889,58903) = 1
LCM(58889,58903) = ( 58889 × 58903) / 1
LCM(58889,58903) = 3468738767 / 1
LCM(58889,58903) = 3468738767

Least Common Multiple (LCM) of 58889 and 58903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58889 and 58903. First we will calculate the prime factors of 58889 and 58903.

Prime Factorization of 58889

Prime Factorization of 58903

Now multiplying the highest exponent prime factors to calculate the LCM of 58889 and 58903.

LCM(58889,58903) = 58889¹ × 13¹ × 23¹ × 197¹
LCM(58889,58903) = 3468738767