What is the Least Common Multiple of 86285 and 86291?
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 86285 and 86291 is 7445618935.
LCM(86285,86291) = 7445618935
Least Common Multiple of 86285 and 86291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86285 and 86291, than apply into the LCM equation.
GCF(86285,86291) = 1
LCM(86285,86291) = ( 86285 × 86291) / 1
LCM(86285,86291) = 7445618935 / 1
LCM(86285,86291) = 7445618935
Least Common Multiple (LCM) of 86285 and 86291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86285 and 86291. First we will calculate the prime factors of 86285 and 86291.
Prime Factorization of 86285
Prime factors of 86285 are 5, 17257. Prime factorization of 86285 in exponential form is:
86285 = 51 × 172571
Prime Factorization of 86291
Prime factors of 86291 are 86291. Prime factorization of 86291 in exponential form is:
86291 = 862911
Now multiplying the highest exponent prime factors to calculate the LCM of 86285 and 86291.
LCM(86285,86291) = 51 × 172571 × 862911
LCM(86285,86291) = 7445618935
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