What is the Least Common Multiple of 90844 and 90854?

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 90844 and 90854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90844 and 90854, than apply into the LCM equation.

GCF(90844,90854) = 2
LCM(90844,90854) = ( 90844 × 90854) / 2
LCM(90844,90854) = 8253540776 / 2
LCM(90844,90854) = 4126770388

Least Common Multiple (LCM) of 90844 and 90854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90844 and 90854. First we will calculate the prime factors of 90844 and 90854.

Prime Factorization of 90844

Prime Factorization of 90854

Now multiplying the highest exponent prime factors to calculate the LCM of 90844 and 90854.

LCM(90844,90854) = 2² × 13¹ × 1747¹ × 45427¹
LCM(90844,90854) = 4126770388