What is the Least Common Multiple of 86687 and 86691?
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 86687 and 86691 is 7514982717.
LCM(86687,86691) = 7514982717
Least Common Multiple of 86687 and 86691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86687 and 86691, than apply into the LCM equation.
GCF(86687,86691) = 1
LCM(86687,86691) = ( 86687 × 86691) / 1
LCM(86687,86691) = 7514982717 / 1
LCM(86687,86691) = 7514982717
Least Common Multiple (LCM) of 86687 and 86691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86687 and 86691. First we will calculate the prime factors of 86687 and 86691.
Prime Factorization of 86687
Prime factors of 86687 are 23, 3769. Prime factorization of 86687 in exponential form is:
86687 = 231 × 37691
Prime Factorization of 86691
Prime factors of 86691 are 3, 11, 37, 71. Prime factorization of 86691 in exponential form is:
86691 = 31 × 111 × 371 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 86687 and 86691.
LCM(86687,86691) = 231 × 37691 × 31 × 111 × 371 × 711
LCM(86687,86691) = 7514982717
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