What is the Least Common Multiple of 88592 and 88609?

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 88609 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 88609, than apply into the LCM equation.

GCF(88592,88609) = 1
LCM(88592,88609) = ( 88592 × 88609) / 1
LCM(88592,88609) = 7850048528 / 1
LCM(88592,88609) = 7850048528

Least Common Multiple (LCM) of 88592 and 88609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88592 and 88609. First we will calculate the prime factors of 88592 and 88609.

Prime Factorization of 88592

Prime Factorization of 88609

Now multiplying the highest exponent prime factors to calculate the LCM of 88592 and 88609.

LCM(88592,88609) = 2⁴ × 7² × 113¹ × 88609¹
LCM(88592,88609) = 7850048528