What is the Least Common Multiple of 90823 and 90831?

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 90823 and 90831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90823 and 90831, than apply into the LCM equation.

GCF(90823,90831) = 1
LCM(90823,90831) = ( 90823 × 90831) / 1
LCM(90823,90831) = 8249543913 / 1
LCM(90823,90831) = 8249543913

Least Common Multiple (LCM) of 90823 and 90831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90823 and 90831. First we will calculate the prime factors of 90823 and 90831.

Prime Factorization of 90823

Prime Factorization of 90831

Now multiplying the highest exponent prime factors to calculate the LCM of 90823 and 90831.

LCM(90823,90831) = 90823¹ × 3¹ × 13¹ × 17¹ × 137¹
LCM(90823,90831) = 8249543913