What is the Least Common Multiple of 86027 and 86047?
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 86027 and 86047 is 7402365269.
LCM(86027,86047) = 7402365269
Least Common Multiple of 86027 and 86047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86027 and 86047, than apply into the LCM equation.
GCF(86027,86047) = 1
LCM(86027,86047) = ( 86027 × 86047) / 1
LCM(86027,86047) = 7402365269 / 1
LCM(86027,86047) = 7402365269
Least Common Multiple (LCM) of 86027 and 86047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86027 and 86047. First we will calculate the prime factors of 86027 and 86047.
Prime Factorization of 86027
Prime factors of 86027 are 86027. Prime factorization of 86027 in exponential form is:
86027 = 860271
Prime Factorization of 86047
Prime factors of 86047 are 13, 6619. Prime factorization of 86047 in exponential form is:
86047 = 131 × 66191
Now multiplying the highest exponent prime factors to calculate the LCM of 86027 and 86047.
LCM(86027,86047) = 860271 × 131 × 66191
LCM(86027,86047) = 7402365269
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