What is the Least Common Multiple of 90586 and 90606?

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 90586 and 90606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90586 and 90606, than apply into the LCM equation.

GCF(90586,90606) = 2
LCM(90586,90606) = ( 90586 × 90606) / 2
LCM(90586,90606) = 8207635116 / 2
LCM(90586,90606) = 4103817558

Least Common Multiple (LCM) of 90586 and 90606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90586 and 90606. First we will calculate the prime factors of 90586 and 90606.

Prime Factorization of 90586

Prime Factorization of 90606

Now multiplying the highest exponent prime factors to calculate the LCM of 90586 and 90606.

LCM(90586,90606) = 2¹ × 45293¹ × 3¹ × 15101¹
LCM(90586,90606) = 4103817558