What is the Least Common Multiple of 86467 and 86479?
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 86467 and 86479 is 7477579693.
LCM(86467,86479) = 7477579693
Least Common Multiple of 86467 and 86479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86467 and 86479, than apply into the LCM equation.
GCF(86467,86479) = 1
LCM(86467,86479) = ( 86467 × 86479) / 1
LCM(86467,86479) = 7477579693 / 1
LCM(86467,86479) = 7477579693
Least Common Multiple (LCM) of 86467 and 86479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86467 and 86479. First we will calculate the prime factors of 86467 and 86479.
Prime Factorization of 86467
Prime factors of 86467 are 86467. Prime factorization of 86467 in exponential form is:
86467 = 864671
Prime Factorization of 86479
Prime factors of 86479 are 17, 5087. Prime factorization of 86479 in exponential form is:
86479 = 171 × 50871
Now multiplying the highest exponent prime factors to calculate the LCM of 86467 and 86479.
LCM(86467,86479) = 864671 × 171 × 50871
LCM(86467,86479) = 7477579693
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