What is the Least Common Multiple of 90423 and 90442?

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 90423 and 90442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90423 and 90442, than apply into the LCM equation.

GCF(90423,90442) = 1
LCM(90423,90442) = ( 90423 × 90442) / 1
LCM(90423,90442) = 8178036966 / 1
LCM(90423,90442) = 8178036966

Least Common Multiple (LCM) of 90423 and 90442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90423 and 90442. First we will calculate the prime factors of 90423 and 90442.

Prime Factorization of 90423

Prime Factorization of 90442

Now multiplying the highest exponent prime factors to calculate the LCM of 90423 and 90442.

LCM(90423,90442) = 3³ × 17¹ × 197¹ × 2¹ × 11¹ × 4111¹
LCM(90423,90442) = 8178036966