What is the Least Common Multiple of 59023 and 59041?

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 59023 and 59041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59023 and 59041, than apply into the LCM equation.

GCF(59023,59041) = 1
LCM(59023,59041) = ( 59023 × 59041) / 1
LCM(59023,59041) = 3484776943 / 1
LCM(59023,59041) = 3484776943

Least Common Multiple (LCM) of 59023 and 59041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59023 and 59041. First we will calculate the prime factors of 59023 and 59041.

Prime Factorization of 59023

Prime Factorization of 59041

Now multiplying the highest exponent prime factors to calculate the LCM of 59023 and 59041.

LCM(59023,59041) = 59023¹ × 17¹ × 23¹ × 151¹
LCM(59023,59041) = 3484776943