What is the Least Common Multiple of 93381 and 93398?

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 93381 and 93398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93381 and 93398, than apply into the LCM equation.

GCF(93381,93398) = 17
LCM(93381,93398) = ( 93381 × 93398) / 17
LCM(93381,93398) = 8721598638 / 17
LCM(93381,93398) = 513035214

Least Common Multiple (LCM) of 93381 and 93398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93381 and 93398. First we will calculate the prime factors of 93381 and 93398.

Prime Factorization of 93381

Prime Factorization of 93398

Now multiplying the highest exponent prime factors to calculate the LCM of 93381 and 93398.

LCM(93381,93398) = 3¹ × 17¹ × 1831¹ × 2¹ × 41¹ × 67¹
LCM(93381,93398) = 513035214