What is the Least Common Multiple of 90232 and 90241?

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 90232 and 90241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90232 and 90241, than apply into the LCM equation.

GCF(90232,90241) = 1
LCM(90232,90241) = ( 90232 × 90241) / 1
LCM(90232,90241) = 8142625912 / 1
LCM(90232,90241) = 8142625912

Least Common Multiple (LCM) of 90232 and 90241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90232 and 90241. First we will calculate the prime factors of 90232 and 90241.

Prime Factorization of 90232

Prime Factorization of 90241

Now multiplying the highest exponent prime factors to calculate the LCM of 90232 and 90241.

LCM(90232,90241) = 2³ × 11279¹ × 31¹ × 41¹ × 71¹
LCM(90232,90241) = 8142625912