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What is the Least Common Multiple of 41027 and 41034?

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 41027 and 41034 is 240500274.

LCM(41027,41034) = 240500274

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Least Common Multiple of 41027 and 41034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41027 and 41034, than apply into the LCM equation.

GCF(41027,41034) = 7
LCM(41027,41034) = ( 41027 × 41034) / 7
LCM(41027,41034) = 1683501918 / 7
LCM(41027,41034) = 240500274

Least Common Multiple (LCM) of 41027 and 41034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41027 and 41034. First we will calculate the prime factors of 41027 and 41034.

Prime Factorization of 41027

Prime factors of 41027 are 7, 5861. Prime factorization of 41027 in exponential form is:

41027 = 71 × 58611

Prime Factorization of 41034

Prime factors of 41034 are 2, 3, 7, 977. Prime factorization of 41034 in exponential form is:

41034 = 21 × 31 × 71 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 41027 and 41034.

LCM(41027,41034) = 71 × 58611 × 21 × 31 × 9771
LCM(41027,41034) = 240500274