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What is the Least Common Multiple of 40850 and 40863?

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 40850 and 40863 is 1669253550.

LCM(40850,40863) = 1669253550

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Least Common Multiple of 40850 and 40863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40850 and 40863, than apply into the LCM equation.

GCF(40850,40863) = 1
LCM(40850,40863) = ( 40850 × 40863) / 1
LCM(40850,40863) = 1669253550 / 1
LCM(40850,40863) = 1669253550

Least Common Multiple (LCM) of 40850 and 40863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40850 and 40863. First we will calculate the prime factors of 40850 and 40863.

Prime Factorization of 40850

Prime factors of 40850 are 2, 5, 19, 43. Prime factorization of 40850 in exponential form is:

40850 = 21 × 52 × 191 × 431

Prime Factorization of 40863

Prime factors of 40863 are 3, 53, 257. Prime factorization of 40863 in exponential form is:

40863 = 31 × 531 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 40850 and 40863.

LCM(40850,40863) = 21 × 52 × 191 × 431 × 31 × 531 × 2571
LCM(40850,40863) = 1669253550