What is the Least Common Multiple of 93687 and 93691?
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 93687 and 93691 is 8777628717.
LCM(93687,93691) = 8777628717
Least Common Multiple of 93687 and 93691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93687 and 93691, than apply into the LCM equation.
GCF(93687,93691) = 1
LCM(93687,93691) = ( 93687 × 93691) / 1
LCM(93687,93691) = 8777628717 / 1
LCM(93687,93691) = 8777628717
Least Common Multiple (LCM) of 93687 and 93691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93687 and 93691. First we will calculate the prime factors of 93687 and 93691.
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
Prime Factorization of 93691
Prime factors of 93691 are 13, 7207. Prime factorization of 93691 in exponential form is:
93691 = 131 × 72071
Now multiplying the highest exponent prime factors to calculate the LCM of 93687 and 93691.
LCM(93687,93691) = 31 × 111 × 171 × 1671 × 131 × 72071
LCM(93687,93691) = 8777628717
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