What is the Least Common Multiple of 90854 and 90866?

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 90854 and 90866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90854 and 90866, than apply into the LCM equation.

GCF(90854,90866) = 2
LCM(90854,90866) = ( 90854 × 90866) / 2
LCM(90854,90866) = 8255539564 / 2
LCM(90854,90866) = 4127769782

Least Common Multiple (LCM) of 90854 and 90866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90854 and 90866. First we will calculate the prime factors of 90854 and 90866.

Prime Factorization of 90854

Prime Factorization of 90866

Now multiplying the highest exponent prime factors to calculate the LCM of 90854 and 90866.

LCM(90854,90866) = 2¹ × 45427¹ × 45433¹
LCM(90854,90866) = 4127769782