What is the Least Common Multiple of 88580 and 88592?

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 88580 and 88592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88580 and 88592, than apply into the LCM equation.

GCF(88580,88592) = 4
LCM(88580,88592) = ( 88580 × 88592) / 4
LCM(88580,88592) = 7847479360 / 4
LCM(88580,88592) = 1961869840

Least Common Multiple (LCM) of 88580 and 88592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88580 and 88592. First we will calculate the prime factors of 88580 and 88592.

Prime Factorization of 88580

Prime Factorization of 88592

Now multiplying the highest exponent prime factors to calculate the LCM of 88580 and 88592.

LCM(88580,88592) = 2⁴ × 5¹ × 43¹ × 103¹ × 7² × 113¹
LCM(88580,88592) = 1961869840