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What is the Least Common Multiple of 40282 and 40291?

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 40282 and 40291 is 1623002062.

LCM(40282,40291) = 1623002062

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Least Common Multiple of 40282 and 40291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40282 and 40291, than apply into the LCM equation.

GCF(40282,40291) = 1
LCM(40282,40291) = ( 40282 × 40291) / 1
LCM(40282,40291) = 1623002062 / 1
LCM(40282,40291) = 1623002062

Least Common Multiple (LCM) of 40282 and 40291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40282 and 40291. First we will calculate the prime factors of 40282 and 40291.

Prime Factorization of 40282

Prime factors of 40282 are 2, 11, 1831. Prime factorization of 40282 in exponential form is:

40282 = 21 × 111 × 18311

Prime Factorization of 40291

Prime factors of 40291 are 43, 937. Prime factorization of 40291 in exponential form is:

40291 = 431 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 40282 and 40291.

LCM(40282,40291) = 21 × 111 × 18311 × 431 × 9371
LCM(40282,40291) = 1623002062