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What is the Least Common Multiple of 41487 and 41494?

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 (LCM) of 41487 and 41494 is 1721461578.

LCM(41487,41494) = 1721461578

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Least Common Multiple of 41487 and 41494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41487 and 41494, than apply into the LCM equation.

GCF(41487,41494) = 1
LCM(41487,41494) = ( 41487 × 41494) / 1
LCM(41487,41494) = 1721461578 / 1
LCM(41487,41494) = 1721461578

Least Common Multiple (LCM) of 41487 and 41494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41487 and 41494. First we will calculate the prime factors of 41487 and 41494.

Prime Factorization of 41487

Prime factors of 41487 are 3, 13829. Prime factorization of 41487 in exponential form is:

41487 = 31 × 138291

Prime Factorization of 41494

Prime factors of 41494 are 2, 20747. Prime factorization of 41494 in exponential form is:

41494 = 21 × 207471

Now multiplying the highest exponent prime factors to calculate the LCM of 41487 and 41494.

LCM(41487,41494) = 31 × 138291 × 21 × 207471
LCM(41487,41494) = 1721461578