What is the Least Common Multiple of 88393 and 88397?

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 88393 and 88397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88393 and 88397, than apply into the LCM equation.

GCF(88393,88397) = 1
LCM(88393,88397) = ( 88393 × 88397) / 1
LCM(88393,88397) = 7813676021 / 1
LCM(88393,88397) = 7813676021

Least Common Multiple (LCM) of 88393 and 88397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88393 and 88397. First we will calculate the prime factors of 88393 and 88397.

Prime Factorization of 88393

Prime Factorization of 88397

Now multiplying the highest exponent prime factors to calculate the LCM of 88393 and 88397.

LCM(88393,88397) = 37¹ × 2389¹ × 88397¹
LCM(88393,88397) = 7813676021