What is the Least Common Multiple of 90040 and 90051?

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 90040 and 90051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90040 and 90051, than apply into the LCM equation.

GCF(90040,90051) = 1
LCM(90040,90051) = ( 90040 × 90051) / 1
LCM(90040,90051) = 8108192040 / 1
LCM(90040,90051) = 8108192040

Least Common Multiple (LCM) of 90040 and 90051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90040 and 90051. First we will calculate the prime factors of 90040 and 90051.

Prime Factorization of 90040

Prime Factorization of 90051

Now multiplying the highest exponent prime factors to calculate the LCM of 90040 and 90051.

LCM(90040,90051) = 2³ × 5¹ × 2251¹ × 3¹ × 13¹ × 2309¹
LCM(90040,90051) = 8108192040