What is the Least Common Multiple of 86387 and 86391?
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 86387 and 86391 is 7463059317.
LCM(86387,86391) = 7463059317
Least Common Multiple of 86387 and 86391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86387 and 86391, than apply into the LCM equation.
GCF(86387,86391) = 1
LCM(86387,86391) = ( 86387 × 86391) / 1
LCM(86387,86391) = 7463059317 / 1
LCM(86387,86391) = 7463059317
Least Common Multiple (LCM) of 86387 and 86391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86387 and 86391. First we will calculate the prime factors of 86387 and 86391.
Prime Factorization of 86387
Prime factors of 86387 are 7, 41, 43. Prime factorization of 86387 in exponential form is:
86387 = 72 × 411 × 431
Prime Factorization of 86391
Prime factors of 86391 are 3, 29, 331. Prime factorization of 86391 in exponential form is:
86391 = 32 × 291 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 86387 and 86391.
LCM(86387,86391) = 72 × 411 × 431 × 32 × 291 × 3311
LCM(86387,86391) = 7463059317
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