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What is the Least Common Multiple of 40277 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 40277 and 40283 is 1622478391.

LCM(40277,40283) = 1622478391

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Least Common Multiple of 40277 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 40277 and 40283, than apply into the LCM equation.

GCF(40277,40283) = 1
LCM(40277,40283) = ( 40277 × 40283) / 1
LCM(40277,40283) = 1622478391 / 1
LCM(40277,40283) = 1622478391

Least Common Multiple (LCM) of 40277 and 40283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40277 and 40283. First we will calculate the prime factors of 40277 and 40283.

Prime Factorization of 40277

Prime factors of 40277 are 40277. Prime factorization of 40277 in exponential form is:

40277 = 402771

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 40277 and 40283.

LCM(40277,40283) = 402771 × 402831
LCM(40277,40283) = 1622478391