What is the Least Common Multiple of 97384 and 97399?

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 97384 and 97399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97384 and 97399, than apply into the LCM equation.

GCF(97384,97399) = 1
LCM(97384,97399) = ( 97384 × 97399) / 1
LCM(97384,97399) = 9485104216 / 1
LCM(97384,97399) = 9485104216

Least Common Multiple (LCM) of 97384 and 97399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97384 and 97399. First we will calculate the prime factors of 97384 and 97399.

Prime Factorization of 97384

Prime Factorization of 97399

Now multiplying the highest exponent prime factors to calculate the LCM of 97384 and 97399.

LCM(97384,97399) = 2³ × 7¹ × 37¹ × 47¹ × 173¹ × 563¹
LCM(97384,97399) = 9485104216