What is the Least Common Multiple of 90675 and 90680?

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 90675 and 90680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90675 and 90680, than apply into the LCM equation.

GCF(90675,90680) = 5
LCM(90675,90680) = ( 90675 × 90680) / 5
LCM(90675,90680) = 8222409000 / 5
LCM(90675,90680) = 1644481800

Least Common Multiple (LCM) of 90675 and 90680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90675 and 90680. First we will calculate the prime factors of 90675 and 90680.

Prime Factorization of 90675

Prime Factorization of 90680

Now multiplying the highest exponent prime factors to calculate the LCM of 90675 and 90680.

LCM(90675,90680) = 3² × 5² × 13¹ × 31¹ × 2³ × 2267¹
LCM(90675,90680) = 1644481800