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What is the Least Common Multiple of 41043 and 41055?

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 41043 and 41055 is 561673455.

LCM(41043,41055) = 561673455

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Least Common Multiple of 41043 and 41055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41043 and 41055, than apply into the LCM equation.

GCF(41043,41055) = 3
LCM(41043,41055) = ( 41043 × 41055) / 3
LCM(41043,41055) = 1685020365 / 3
LCM(41043,41055) = 561673455

Least Common Multiple (LCM) of 41043 and 41055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41043 and 41055. First we will calculate the prime factors of 41043 and 41055.

Prime Factorization of 41043

Prime factors of 41043 are 3, 13681. Prime factorization of 41043 in exponential form is:

41043 = 31 × 136811

Prime Factorization of 41055

Prime factors of 41055 are 3, 5, 7, 17, 23. Prime factorization of 41055 in exponential form is:

41055 = 31 × 51 × 71 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 41043 and 41055.

LCM(41043,41055) = 31 × 136811 × 51 × 71 × 171 × 231
LCM(41043,41055) = 561673455