What is the Least Common Multiple of 86847 and 86855?
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 86847 and 86855 is 7543096185.
LCM(86847,86855) = 7543096185
Least Common Multiple of 86847 and 86855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86847 and 86855, than apply into the LCM equation.
GCF(86847,86855) = 1
LCM(86847,86855) = ( 86847 × 86855) / 1
LCM(86847,86855) = 7543096185 / 1
LCM(86847,86855) = 7543096185
Least Common Multiple (LCM) of 86847 and 86855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86847 and 86855. First we will calculate the prime factors of 86847 and 86855.
Prime Factorization of 86847
Prime factors of 86847 are 3, 28949. Prime factorization of 86847 in exponential form is:
86847 = 31 × 289491
Prime Factorization of 86855
Prime factors of 86855 are 5, 29, 599. Prime factorization of 86855 in exponential form is:
86855 = 51 × 291 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 86847 and 86855.
LCM(86847,86855) = 31 × 289491 × 51 × 291 × 5991
LCM(86847,86855) = 7543096185
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