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What is the Least Common Multiple of 40883 and 40903?

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 40883 and 40903 is 1672237349.

LCM(40883,40903) = 1672237349

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Least Common Multiple of 40883 and 40903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40883 and 40903, than apply into the LCM equation.

GCF(40883,40903) = 1
LCM(40883,40903) = ( 40883 × 40903) / 1
LCM(40883,40903) = 1672237349 / 1
LCM(40883,40903) = 1672237349

Least Common Multiple (LCM) of 40883 and 40903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40883 and 40903. First we will calculate the prime factors of 40883 and 40903.

Prime Factorization of 40883

Prime factors of 40883 are 40883. Prime factorization of 40883 in exponential form is:

40883 = 408831

Prime Factorization of 40903

Prime factors of 40903 are 40903. Prime factorization of 40903 in exponential form is:

40903 = 409031

Now multiplying the highest exponent prime factors to calculate the LCM of 40883 and 40903.

LCM(40883,40903) = 408831 × 409031
LCM(40883,40903) = 1672237349