What is the Least Common Multiple of 88592 and 88597?

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 88592 and 88597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88592 and 88597, than apply into the LCM equation.

GCF(88592,88597) = 1
LCM(88592,88597) = ( 88592 × 88597) / 1
LCM(88592,88597) = 7848985424 / 1
LCM(88592,88597) = 7848985424

Least Common Multiple (LCM) of 88592 and 88597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88592 and 88597. First we will calculate the prime factors of 88592 and 88597.

Prime Factorization of 88592

Prime Factorization of 88597

Now multiplying the highest exponent prime factors to calculate the LCM of 88592 and 88597.

LCM(88592,88597) = 2⁴ × 7² × 113¹ × 19¹ × 4663¹
LCM(88592,88597) = 7848985424