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What is the Least Common Multiple of 41623 and 41631?

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 41623 and 41631 is 1732807113.

LCM(41623,41631) = 1732807113

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Least Common Multiple of 41623 and 41631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41623 and 41631, than apply into the LCM equation.

GCF(41623,41631) = 1
LCM(41623,41631) = ( 41623 × 41631) / 1
LCM(41623,41631) = 1732807113 / 1
LCM(41623,41631) = 1732807113

Least Common Multiple (LCM) of 41623 and 41631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41623 and 41631. First we will calculate the prime factors of 41623 and 41631.

Prime Factorization of 41623

Prime factors of 41623 are 107, 389. Prime factorization of 41623 in exponential form is:

41623 = 1071 × 3891

Prime Factorization of 41631

Prime factors of 41631 are 3, 13877. Prime factorization of 41631 in exponential form is:

41631 = 31 × 138771

Now multiplying the highest exponent prime factors to calculate the LCM of 41623 and 41631.

LCM(41623,41631) = 1071 × 3891 × 31 × 138771
LCM(41623,41631) = 1732807113