What is the Least Common Multiple of 58446 and 58465?

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 58446 and 58465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58446 and 58465, than apply into the LCM equation.

GCF(58446,58465) = 1
LCM(58446,58465) = ( 58446 × 58465) / 1
LCM(58446,58465) = 3417045390 / 1
LCM(58446,58465) = 3417045390

Least Common Multiple (LCM) of 58446 and 58465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58446 and 58465. First we will calculate the prime factors of 58446 and 58465.

Prime Factorization of 58446

Prime Factorization of 58465

Now multiplying the highest exponent prime factors to calculate the LCM of 58446 and 58465.

LCM(58446,58465) = 2¹ × 3² × 17¹ × 191¹ × 5¹ × 11¹ × 1063¹
LCM(58446,58465) = 3417045390