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What is the Least Common Multiple of 41647 and 41666?

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 41647 and 41666 is 1735263902.

LCM(41647,41666) = 1735263902

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Least Common Multiple of 41647 and 41666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41647 and 41666, than apply into the LCM equation.

GCF(41647,41666) = 1
LCM(41647,41666) = ( 41647 × 41666) / 1
LCM(41647,41666) = 1735263902 / 1
LCM(41647,41666) = 1735263902

Least Common Multiple (LCM) of 41647 and 41666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41647 and 41666. First we will calculate the prime factors of 41647 and 41666.

Prime Factorization of 41647

Prime factors of 41647 are 41647. Prime factorization of 41647 in exponential form is:

41647 = 416471

Prime Factorization of 41666

Prime factors of 41666 are 2, 83, 251. Prime factorization of 41666 in exponential form is:

41666 = 21 × 831 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 41647 and 41666.

LCM(41647,41666) = 416471 × 21 × 831 × 2511
LCM(41647,41666) = 1735263902