What is the Least Common Multiple of 41504 and 41514?

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 41504 and 41514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41504 and 41514, than apply into the LCM equation.

GCF(41504,41514) = 2
LCM(41504,41514) = ( 41504 × 41514) / 2
LCM(41504,41514) = 1722997056 / 2
LCM(41504,41514) = 861498528

Least Common Multiple (LCM) of 41504 and 41514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41504 and 41514. First we will calculate the prime factors of 41504 and 41514.

Prime Factorization of 41504

Prime Factorization of 41514

Now multiplying the highest exponent prime factors to calculate the LCM of 41504 and 41514.

LCM(41504,41514) = 2⁵ × 1297¹ × 3¹ × 11¹ × 17¹ × 37¹
LCM(41504,41514) = 861498528