What is the Least Common Multiple of 90586 and 90590?

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 90590 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 90590, than apply into the LCM equation.

GCF(90586,90590) = 2
LCM(90586,90590) = ( 90586 × 90590) / 2
LCM(90586,90590) = 8206185740 / 2
LCM(90586,90590) = 4103092870

Least Common Multiple (LCM) of 90586 and 90590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90586 and 90590. First we will calculate the prime factors of 90586 and 90590.

Prime Factorization of 90586

Prime Factorization of 90590

Now multiplying the highest exponent prime factors to calculate the LCM of 90586 and 90590.

LCM(90586,90590) = 2¹ × 45293¹ × 5¹ × 9059¹
LCM(90586,90590) = 4103092870