What is the Least Common Multiple of 843 and 855?
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 843 and 855 is 240255.
LCM(843,855) = 240255
Least Common Multiple of 843 and 855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 843 and 855, than apply into the LCM equation.
GCF(843,855) = 3
LCM(843,855) = ( 843 × 855) / 3
LCM(843,855) = 720765 / 3
LCM(843,855) = 240255
Least Common Multiple (LCM) of 843 and 855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 855. First we will calculate the prime factors of 843 and 855.
Prime Factorization of 843
Prime factors of 843 are 3, 281. Prime factorization of 843 in exponential form is:
843 = 31 × 2811
Prime Factorization of 855
Prime factors of 855 are 3, 5, 19. Prime factorization of 855 in exponential form is:
855 = 32 × 51 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 855.
LCM(843,855) = 32 × 2811 × 51 × 191
LCM(843,855) = 240255
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