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What is the Least Common Multiple of 41063 and 41080?

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 41063 and 41080 is 1686868040.

LCM(41063,41080) = 1686868040

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Least Common Multiple of 41063 and 41080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41063 and 41080, than apply into the LCM equation.

GCF(41063,41080) = 1
LCM(41063,41080) = ( 41063 × 41080) / 1
LCM(41063,41080) = 1686868040 / 1
LCM(41063,41080) = 1686868040

Least Common Multiple (LCM) of 41063 and 41080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41063 and 41080. First we will calculate the prime factors of 41063 and 41080.

Prime Factorization of 41063

Prime factors of 41063 are 11, 3733. Prime factorization of 41063 in exponential form is:

41063 = 111 × 37331

Prime Factorization of 41080

Prime factors of 41080 are 2, 5, 13, 79. Prime factorization of 41080 in exponential form is:

41080 = 23 × 51 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 41063 and 41080.

LCM(41063,41080) = 111 × 37331 × 23 × 51 × 131 × 791
LCM(41063,41080) = 1686868040