What is the Least Common Multiple of 97376 and 97389?

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 97376 and 97389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97376 and 97389, than apply into the LCM equation.

GCF(97376,97389) = 1
LCM(97376,97389) = ( 97376 × 97389) / 1
LCM(97376,97389) = 9483351264 / 1
LCM(97376,97389) = 9483351264

Least Common Multiple (LCM) of 97376 and 97389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97376 and 97389. First we will calculate the prime factors of 97376 and 97389.

Prime Factorization of 97376

Prime Factorization of 97389

Now multiplying the highest exponent prime factors to calculate the LCM of 97376 and 97389.

LCM(97376,97389) = 2⁵ × 17¹ × 179¹ × 3³ × 3607¹
LCM(97376,97389) = 9483351264