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What is the Least Common Multiple of 40447 and 40467?

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 40447 and 40467 is 1636768749.

LCM(40447,40467) = 1636768749

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Least Common Multiple of 40447 and 40467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40447 and 40467, than apply into the LCM equation.

GCF(40447,40467) = 1
LCM(40447,40467) = ( 40447 × 40467) / 1
LCM(40447,40467) = 1636768749 / 1
LCM(40447,40467) = 1636768749

Least Common Multiple (LCM) of 40447 and 40467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40447 and 40467. First we will calculate the prime factors of 40447 and 40467.

Prime Factorization of 40447

Prime factors of 40447 are 11, 3677. Prime factorization of 40447 in exponential form is:

40447 = 111 × 36771

Prime Factorization of 40467

Prime factors of 40467 are 3, 7, 41, 47. Prime factorization of 40467 in exponential form is:

40467 = 31 × 71 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 40447 and 40467.

LCM(40447,40467) = 111 × 36771 × 31 × 71 × 411 × 471
LCM(40447,40467) = 1636768749