What is the Least Common Multiple of 58045 and 58063?

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 58045 and 58063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58045 and 58063, than apply into the LCM equation.

GCF(58045,58063) = 1
LCM(58045,58063) = ( 58045 × 58063) / 1
LCM(58045,58063) = 3370266835 / 1
LCM(58045,58063) = 3370266835

Least Common Multiple (LCM) of 58045 and 58063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58045 and 58063. First we will calculate the prime factors of 58045 and 58063.

Prime Factorization of 58045

Prime Factorization of 58063

Now multiplying the highest exponent prime factors to calculate the LCM of 58045 and 58063.

LCM(58045,58063) = 5¹ × 13¹ × 19¹ × 47¹ × 31¹ × 1873¹
LCM(58045,58063) = 3370266835