What is the Least Common Multiple of 40387 and 40394?
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 40394 is 1631392478.
LCM(40387,40394) = 1631392478
Least Common Multiple of 40387 and 40394 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 40394, than apply into the LCM equation.
GCF(40387,40394) = 1
LCM(40387,40394) = ( 40387 × 40394) / 1
LCM(40387,40394) = 1631392478 / 1
LCM(40387,40394) = 1631392478
Least Common Multiple (LCM) of 40387 and 40394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40387 and 40394. First we will calculate the prime factors of 40387 and 40394.
Prime Factorization of 40387
Prime factors of 40387 are 40387. Prime factorization of 40387 in exponential form is:
40387 = 403871
Prime Factorization of 40394
Prime factors of 40394 are 2, 19, 1063. Prime factorization of 40394 in exponential form is:
40394 = 21 × 191 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 40387 and 40394.
LCM(40387,40394) = 403871 × 21 × 191 × 10631
LCM(40387,40394) = 1631392478
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