What is the Least Common Multiple of 18857 and 18863?
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 18857 and 18863 is 355699591.
LCM(18857,18863) = 355699591
Least Common Multiple of 18857 and 18863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18857 and 18863, than apply into the LCM equation.
GCF(18857,18863) = 1
LCM(18857,18863) = ( 18857 × 18863) / 1
LCM(18857,18863) = 355699591 / 1
LCM(18857,18863) = 355699591
Least Common Multiple (LCM) of 18857 and 18863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18857 and 18863. First we will calculate the prime factors of 18857 and 18863.
Prime Factorization of 18857
Prime factors of 18857 are 109, 173. Prime factorization of 18857 in exponential form is:
18857 = 1091 × 1731
Prime Factorization of 18863
Prime factors of 18863 are 13, 1451. Prime factorization of 18863 in exponential form is:
18863 = 131 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 18857 and 18863.
LCM(18857,18863) = 1091 × 1731 × 131 × 14511
LCM(18857,18863) = 355699591
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