What is the Least Common Multiple of 97383 and 97398?

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 97383 and 97398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97383 and 97398, than apply into the LCM equation.

GCF(97383,97398) = 3
LCM(97383,97398) = ( 97383 × 97398) / 3
LCM(97383,97398) = 9484909434 / 3
LCM(97383,97398) = 3161636478

Least Common Multiple (LCM) of 97383 and 97398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97383 and 97398. First we will calculate the prime factors of 97383 and 97398.

Prime Factorization of 97383

Prime Factorization of 97398

Now multiplying the highest exponent prime factors to calculate the LCM of 97383 and 97398.

LCM(97383,97398) = 3² × 11¹ × 13¹ × 227¹ × 2¹ × 7¹ × 773¹
LCM(97383,97398) = 3161636478