What is the Least Common Multiple of 90861 and 90875?

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 90861 and 90875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90861 and 90875, than apply into the LCM equation.

GCF(90861,90875) = 1
LCM(90861,90875) = ( 90861 × 90875) / 1
LCM(90861,90875) = 8256993375 / 1
LCM(90861,90875) = 8256993375

Least Common Multiple (LCM) of 90861 and 90875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90861 and 90875. First we will calculate the prime factors of 90861 and 90875.

Prime Factorization of 90861

Prime Factorization of 90875

Now multiplying the highest exponent prime factors to calculate the LCM of 90861 and 90875.

LCM(90861,90875) = 3¹ × 31¹ × 977¹ × 5³ × 727¹
LCM(90861,90875) = 8256993375