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What is the Least Common Multiple of 41043 and 41053?

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 41053 is 1684938279.

LCM(41043,41053) = 1684938279

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Least Common Multiple of 41043 and 41053 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 41053, than apply into the LCM equation.

GCF(41043,41053) = 1
LCM(41043,41053) = ( 41043 × 41053) / 1
LCM(41043,41053) = 1684938279 / 1
LCM(41043,41053) = 1684938279

Least Common Multiple (LCM) of 41043 and 41053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41043 and 41053. First we will calculate the prime factors of 41043 and 41053.

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 41053

Prime factors of 41053 are 61, 673. Prime factorization of 41053 in exponential form is:

41053 = 611 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 41043 and 41053.

LCM(41043,41053) = 31 × 136811 × 611 × 6731
LCM(41043,41053) = 1684938279