What is the Least Common Multiple of 93683 and 93687?
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 93687 is 8776879221.
LCM(93683,93687) = 8776879221
Least Common Multiple of 93683 and 93687 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 93687, than apply into the LCM equation.
GCF(93683,93687) = 1
LCM(93683,93687) = ( 93683 × 93687) / 1
LCM(93683,93687) = 8776879221 / 1
LCM(93683,93687) = 8776879221
Least Common Multiple (LCM) of 93683 and 93687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93683 and 93687. First we will calculate the prime factors of 93683 and 93687.
Prime Factorization of 93683
Prime factors of 93683 are 93683. Prime factorization of 93683 in exponential form is:
93683 = 936831
Prime Factorization of 93687
Prime factors of 93687 are 3, 11, 17, 167. Prime factorization of 93687 in exponential form is:
93687 = 31 × 111 × 171 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 93683 and 93687.
LCM(93683,93687) = 936831 × 31 × 111 × 171 × 1671
LCM(93683,93687) = 8776879221
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