What is the Least Common Multiple of 41574 and 41578?

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 41574 and 41578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41574 and 41578, than apply into the LCM equation.

GCF(41574,41578) = 2
LCM(41574,41578) = ( 41574 × 41578) / 2
LCM(41574,41578) = 1728563772 / 2
LCM(41574,41578) = 864281886

Least Common Multiple (LCM) of 41574 and 41578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41574 and 41578. First we will calculate the prime factors of 41574 and 41578.

Prime Factorization of 41574

Prime Factorization of 41578

Now multiplying the highest exponent prime factors to calculate the LCM of 41574 and 41578.

LCM(41574,41578) = 2¹ × 3¹ × 13² × 41¹ × 20789¹
LCM(41574,41578) = 864281886