What is the Least Common Multiple of 93683 and 93689?
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 93683 and 93689 is 8777066587.
LCM(93683,93689) = 8777066587
Least Common Multiple of 93683 and 93689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93683 and 93689, than apply into the LCM equation.
GCF(93683,93689) = 1
LCM(93683,93689) = ( 93683 × 93689) / 1
LCM(93683,93689) = 8777066587 / 1
LCM(93683,93689) = 8777066587
Least Common Multiple (LCM) of 93683 and 93689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93683 and 93689. First we will calculate the prime factors of 93683 and 93689.
Prime Factorization of 93683
Prime factors of 93683 are 93683. Prime factorization of 93683 in exponential form is:
93683 = 936831
Prime Factorization of 93689
Prime factors of 93689 are 19, 4931. Prime factorization of 93689 in exponential form is:
93689 = 191 × 49311
Now multiplying the highest exponent prime factors to calculate the LCM of 93683 and 93689.
LCM(93683,93689) = 936831 × 191 × 49311
LCM(93683,93689) = 8777066587
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