What is the Least Common Multiple of 41439 and 41456?

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 41439 and 41456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41439 and 41456, than apply into the LCM equation.

GCF(41439,41456) = 1
LCM(41439,41456) = ( 41439 × 41456) / 1
LCM(41439,41456) = 1717895184 / 1
LCM(41439,41456) = 1717895184

Least Common Multiple (LCM) of 41439 and 41456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41439 and 41456. First we will calculate the prime factors of 41439 and 41456.

Prime Factorization of 41439

Prime Factorization of 41456

Now multiplying the highest exponent prime factors to calculate the LCM of 41439 and 41456.

LCM(41439,41456) = 3¹ × 19¹ × 727¹ × 2⁴ × 2591¹
LCM(41439,41456) = 1717895184