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What is the Least Common Multiple of 40465 and 40471?

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 40465 and 40471 is 1637659015.

LCM(40465,40471) = 1637659015

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Least Common Multiple of 40465 and 40471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40465 and 40471, than apply into the LCM equation.

GCF(40465,40471) = 1
LCM(40465,40471) = ( 40465 × 40471) / 1
LCM(40465,40471) = 1637659015 / 1
LCM(40465,40471) = 1637659015

Least Common Multiple (LCM) of 40465 and 40471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40465 and 40471. First we will calculate the prime factors of 40465 and 40471.

Prime Factorization of 40465

Prime factors of 40465 are 5, 8093. Prime factorization of 40465 in exponential form is:

40465 = 51 × 80931

Prime Factorization of 40471

Prime factors of 40471 are 40471. Prime factorization of 40471 in exponential form is:

40471 = 404711

Now multiplying the highest exponent prime factors to calculate the LCM of 40465 and 40471.

LCM(40465,40471) = 51 × 80931 × 404711
LCM(40465,40471) = 1637659015