What is the Least Common Multiple of 90592 and 90611?

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 90592 and 90611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90592 and 90611, than apply into the LCM equation.

GCF(90592,90611) = 19
LCM(90592,90611) = ( 90592 × 90611) / 19
LCM(90592,90611) = 8208631712 / 19
LCM(90592,90611) = 432033248

Least Common Multiple (LCM) of 90592 and 90611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90592 and 90611. First we will calculate the prime factors of 90592 and 90611.

Prime Factorization of 90592

Prime Factorization of 90611

Now multiplying the highest exponent prime factors to calculate the LCM of 90592 and 90611.

LCM(90592,90611) = 2⁵ × 19² × 149¹ × 251¹
LCM(90592,90611) = 432033248