What is the Least Common Multiple of 32843 and 32855?
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 32843 and 32855 is 1079056765.
LCM(32843,32855) = 1079056765
Least Common Multiple of 32843 and 32855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32843 and 32855, than apply into the LCM equation.
GCF(32843,32855) = 1
LCM(32843,32855) = ( 32843 × 32855) / 1
LCM(32843,32855) = 1079056765 / 1
LCM(32843,32855) = 1079056765
Least Common Multiple (LCM) of 32843 and 32855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32843 and 32855. First we will calculate the prime factors of 32843 and 32855.
Prime Factorization of 32843
Prime factors of 32843 are 32843. Prime factorization of 32843 in exponential form is:
32843 = 328431
Prime Factorization of 32855
Prime factors of 32855 are 5, 6571. Prime factorization of 32855 in exponential form is:
32855 = 51 × 65711
Now multiplying the highest exponent prime factors to calculate the LCM of 32843 and 32855.
LCM(32843,32855) = 328431 × 51 × 65711
LCM(32843,32855) = 1079056765
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