What is the Least Common Multiple of 90828 and 90844?

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 90828 and 90844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90828 and 90844, than apply into the LCM equation.

GCF(90828,90844) = 4
LCM(90828,90844) = ( 90828 × 90844) / 4
LCM(90828,90844) = 8251178832 / 4
LCM(90828,90844) = 2062794708

Least Common Multiple (LCM) of 90828 and 90844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90828 and 90844. First we will calculate the prime factors of 90828 and 90844.

Prime Factorization of 90828

Prime Factorization of 90844

Now multiplying the highest exponent prime factors to calculate the LCM of 90828 and 90844.

LCM(90828,90844) = 2² × 3³ × 29² × 13¹ × 1747¹
LCM(90828,90844) = 2062794708