What is the Least Common Multiple of 90138 and 90144?

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 90138 and 90144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90138 and 90144, than apply into the LCM equation.

GCF(90138,90144) = 6
LCM(90138,90144) = ( 90138 × 90144) / 6
LCM(90138,90144) = 8125399872 / 6
LCM(90138,90144) = 1354233312

Least Common Multiple (LCM) of 90138 and 90144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90138 and 90144. First we will calculate the prime factors of 90138 and 90144.

Prime Factorization of 90138

Prime Factorization of 90144

Now multiplying the highest exponent prime factors to calculate the LCM of 90138 and 90144.

LCM(90138,90144) = 2⁵ × 3² × 83¹ × 181¹ × 313¹
LCM(90138,90144) = 1354233312