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What is the Least Common Multiple of 40263 and 40283?

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 40263 and 40283 is 1621914429.

LCM(40263,40283) = 1621914429

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Least Common Multiple of 40263 and 40283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40263 and 40283, than apply into the LCM equation.

GCF(40263,40283) = 1
LCM(40263,40283) = ( 40263 × 40283) / 1
LCM(40263,40283) = 1621914429 / 1
LCM(40263,40283) = 1621914429

Least Common Multiple (LCM) of 40263 and 40283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40263 and 40283. First we will calculate the prime factors of 40263 and 40283.

Prime Factorization of 40263

Prime factors of 40263 are 3, 13421. Prime factorization of 40263 in exponential form is:

40263 = 31 × 134211

Prime Factorization of 40283

Prime factors of 40283 are 40283. Prime factorization of 40283 in exponential form is:

40283 = 402831

Now multiplying the highest exponent prime factors to calculate the LCM of 40263 and 40283.

LCM(40263,40283) = 31 × 134211 × 402831
LCM(40263,40283) = 1621914429