What is the Least Common Multiple of 88398 and 88409?

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 88398 and 88409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88398 and 88409, than apply into the LCM equation.

GCF(88398,88409) = 1
LCM(88398,88409) = ( 88398 × 88409) / 1
LCM(88398,88409) = 7815178782 / 1
LCM(88398,88409) = 7815178782

Least Common Multiple (LCM) of 88398 and 88409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88398 and 88409. First we will calculate the prime factors of 88398 and 88409.

Prime Factorization of 88398

Prime Factorization of 88409

Now multiplying the highest exponent prime factors to calculate the LCM of 88398 and 88409.

LCM(88398,88409) = 2¹ × 3³ × 1637¹ × 211¹ × 419¹
LCM(88398,88409) = 7815178782