What is the Least Common Multiple of 18787 and 18793?
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 18787 and 18793 is 353064091.
LCM(18787,18793) = 353064091
Least Common Multiple of 18787 and 18793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18787 and 18793, than apply into the LCM equation.
GCF(18787,18793) = 1
LCM(18787,18793) = ( 18787 × 18793) / 1
LCM(18787,18793) = 353064091 / 1
LCM(18787,18793) = 353064091
Least Common Multiple (LCM) of 18787 and 18793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18787 and 18793. First we will calculate the prime factors of 18787 and 18793.
Prime Factorization of 18787
Prime factors of 18787 are 18787. Prime factorization of 18787 in exponential form is:
18787 = 187871
Prime Factorization of 18793
Prime factors of 18793 are 18793. Prime factorization of 18793 in exponential form is:
18793 = 187931
Now multiplying the highest exponent prime factors to calculate the LCM of 18787 and 18793.
LCM(18787,18793) = 187871 × 187931
LCM(18787,18793) = 353064091
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