What is the Least Common Multiple of 90590 and 90610?

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 90590 and 90610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90590 and 90610, than apply into the LCM equation.

GCF(90590,90610) = 10
LCM(90590,90610) = ( 90590 × 90610) / 10
LCM(90590,90610) = 8208359900 / 10
LCM(90590,90610) = 820835990

Least Common Multiple (LCM) of 90590 and 90610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90590 and 90610. First we will calculate the prime factors of 90590 and 90610.

Prime Factorization of 90590

Prime Factorization of 90610

Now multiplying the highest exponent prime factors to calculate the LCM of 90590 and 90610.

LCM(90590,90610) = 2¹ × 5¹ × 9059¹ × 13¹ × 17¹ × 41¹
LCM(90590,90610) = 820835990