What is the Least Common Multiple of 58398 and 58417?

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 58398 and 58417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58398 and 58417, than apply into the LCM equation.

GCF(58398,58417) = 1
LCM(58398,58417) = ( 58398 × 58417) / 1
LCM(58398,58417) = 3411435966 / 1
LCM(58398,58417) = 3411435966

Least Common Multiple (LCM) of 58398 and 58417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58398 and 58417. First we will calculate the prime factors of 58398 and 58417.

Prime Factorization of 58398

Prime Factorization of 58417

Now multiplying the highest exponent prime factors to calculate the LCM of 58398 and 58417.

LCM(58398,58417) = 2¹ × 3¹ × 9733¹ × 58417¹
LCM(58398,58417) = 3411435966