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What is the Least Common Multiple of 41043 and 41058?

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 41058 is 561714498.

LCM(41043,41058) = 561714498

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Least Common Multiple of 41043 and 41058 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 41058, than apply into the LCM equation.

GCF(41043,41058) = 3
LCM(41043,41058) = ( 41043 × 41058) / 3
LCM(41043,41058) = 1685143494 / 3
LCM(41043,41058) = 561714498

Least Common Multiple (LCM) of 41043 and 41058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41043 and 41058. First we will calculate the prime factors of 41043 and 41058.

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 41058

Prime factors of 41058 are 2, 3, 2281. Prime factorization of 41058 in exponential form is:

41058 = 21 × 32 × 22811

Now multiplying the highest exponent prime factors to calculate the LCM of 41043 and 41058.

LCM(41043,41058) = 32 × 136811 × 21 × 22811
LCM(41043,41058) = 561714498