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What is the Least Common Multiple of 40786 and 40801?

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 40786 and 40801 is 1664109586.

LCM(40786,40801) = 1664109586

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Least Common Multiple of 40786 and 40801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40786 and 40801, than apply into the LCM equation.

GCF(40786,40801) = 1
LCM(40786,40801) = ( 40786 × 40801) / 1
LCM(40786,40801) = 1664109586 / 1
LCM(40786,40801) = 1664109586

Least Common Multiple (LCM) of 40786 and 40801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40786 and 40801. First we will calculate the prime factors of 40786 and 40801.

Prime Factorization of 40786

Prime factors of 40786 are 2, 20393. Prime factorization of 40786 in exponential form is:

40786 = 21 × 203931

Prime Factorization of 40801

Prime factors of 40801 are 40801. Prime factorization of 40801 in exponential form is:

40801 = 408011

Now multiplying the highest exponent prime factors to calculate the LCM of 40786 and 40801.

LCM(40786,40801) = 21 × 203931 × 408011
LCM(40786,40801) = 1664109586