What is the Least Common Multiple of 41540 and 41544?

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 41540 and 41544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41540 and 41544, than apply into the LCM equation.

GCF(41540,41544) = 4
LCM(41540,41544) = ( 41540 × 41544) / 4
LCM(41540,41544) = 1725737760 / 4
LCM(41540,41544) = 431434440

Least Common Multiple (LCM) of 41540 and 41544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41540 and 41544. First we will calculate the prime factors of 41540 and 41544.

Prime Factorization of 41540

Prime Factorization of 41544

Now multiplying the highest exponent prime factors to calculate the LCM of 41540 and 41544.

LCM(41540,41544) = 2³ × 5¹ × 31¹ × 67¹ × 3² × 577¹
LCM(41540,41544) = 431434440