What is the Least Common Multiple of 40387 and 40391?
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 40387 and 40391 is 1631271317.
LCM(40387,40391) = 1631271317
Least Common Multiple of 40387 and 40391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40387 and 40391, than apply into the LCM equation.
GCF(40387,40391) = 1
LCM(40387,40391) = ( 40387 × 40391) / 1
LCM(40387,40391) = 1631271317 / 1
LCM(40387,40391) = 1631271317
Least Common Multiple (LCM) of 40387 and 40391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40387 and 40391. First we will calculate the prime factors of 40387 and 40391.
Prime Factorization of 40387
Prime factors of 40387 are 40387. Prime factorization of 40387 in exponential form is:
40387 = 403871
Prime Factorization of 40391
Prime factors of 40391 are 13, 239. Prime factorization of 40391 in exponential form is:
40391 = 132 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 40387 and 40391.
LCM(40387,40391) = 403871 × 132 × 2391
LCM(40387,40391) = 1631271317
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