What is the Least Common Multiple of 90827 and 90843?

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 90827 and 90843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90827 and 90843, than apply into the LCM equation.

GCF(90827,90843) = 1
LCM(90827,90843) = ( 90827 × 90843) / 1
LCM(90827,90843) = 8250997161 / 1
LCM(90827,90843) = 8250997161

Least Common Multiple (LCM) of 90827 and 90843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90827 and 90843. First we will calculate the prime factors of 90827 and 90843.

Prime Factorization of 90827

Prime Factorization of 90843

Now multiplying the highest exponent prime factors to calculate the LCM of 90827 and 90843.

LCM(90827,90843) = 11¹ × 23¹ × 359¹ × 3¹ × 107¹ × 283¹
LCM(90827,90843) = 8250997161