What is the Least Common Multiple of 94398 and 94417?

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 94398 and 94417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94398 and 94417, than apply into the LCM equation.

GCF(94398,94417) = 1
LCM(94398,94417) = ( 94398 × 94417) / 1
LCM(94398,94417) = 8912775966 / 1
LCM(94398,94417) = 8912775966

Least Common Multiple (LCM) of 94398 and 94417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94398 and 94417. First we will calculate the prime factors of 94398 and 94417.

Prime Factorization of 94398

Prime Factorization of 94417

Now multiplying the highest exponent prime factors to calculate the LCM of 94398 and 94417.

LCM(94398,94417) = 2¹ × 3¹ × 15733¹ × 263¹ × 359¹
LCM(94398,94417) = 8912775966