What is the Least Common Multiple of 93833 and 93843?
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 93833 and 93843 is 8805570219.
LCM(93833,93843) = 8805570219
Least Common Multiple of 93833 and 93843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93833 and 93843, than apply into the LCM equation.
GCF(93833,93843) = 1
LCM(93833,93843) = ( 93833 × 93843) / 1
LCM(93833,93843) = 8805570219 / 1
LCM(93833,93843) = 8805570219
Least Common Multiple (LCM) of 93833 and 93843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93833 and 93843. First we will calculate the prime factors of 93833 and 93843.
Prime Factorization of 93833
Prime factors of 93833 are 103, 911. Prime factorization of 93833 in exponential form is:
93833 = 1031 × 9111
Prime Factorization of 93843
Prime factors of 93843 are 3, 10427. Prime factorization of 93843 in exponential form is:
93843 = 32 × 104271
Now multiplying the highest exponent prime factors to calculate the LCM of 93833 and 93843.
LCM(93833,93843) = 1031 × 9111 × 32 × 104271
LCM(93833,93843) = 8805570219
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