What is the Least Common Multiple of 90242 and 90257?

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 90242 and 90257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90242 and 90257, than apply into the LCM equation.

GCF(90242,90257) = 1
LCM(90242,90257) = ( 90242 × 90257) / 1
LCM(90242,90257) = 8144972194 / 1
LCM(90242,90257) = 8144972194

Least Common Multiple (LCM) of 90242 and 90257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90242 and 90257. First we will calculate the prime factors of 90242 and 90257.

Prime Factorization of 90242

Prime Factorization of 90257

Now multiplying the highest exponent prime factors to calculate the LCM of 90242 and 90257.

LCM(90242,90257) = 2¹ × 45121¹ × 43¹ × 2099¹
LCM(90242,90257) = 8144972194