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What is the Least Common Multiple of 41040 and 41049?

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 41040 and 41049 is 187183440.

LCM(41040,41049) = 187183440

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Least Common Multiple of 41040 and 41049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41040 and 41049, than apply into the LCM equation.

GCF(41040,41049) = 9
LCM(41040,41049) = ( 41040 × 41049) / 9
LCM(41040,41049) = 1684650960 / 9
LCM(41040,41049) = 187183440

Least Common Multiple (LCM) of 41040 and 41049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41040 and 41049. First we will calculate the prime factors of 41040 and 41049.

Prime Factorization of 41040

Prime factors of 41040 are 2, 3, 5, 19. Prime factorization of 41040 in exponential form is:

41040 = 24 × 33 × 51 × 191

Prime Factorization of 41049

Prime factors of 41049 are 3, 4561. Prime factorization of 41049 in exponential form is:

41049 = 32 × 45611

Now multiplying the highest exponent prime factors to calculate the LCM of 41040 and 41049.

LCM(41040,41049) = 24 × 33 × 51 × 191 × 45611
LCM(41040,41049) = 187183440