What is the Least Common Multiple of 84467 and 84486?
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 84467 and 84486 is 7136278962.
LCM(84467,84486) = 7136278962
Least Common Multiple of 84467 and 84486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84467 and 84486, than apply into the LCM equation.
GCF(84467,84486) = 1
LCM(84467,84486) = ( 84467 × 84486) / 1
LCM(84467,84486) = 7136278962 / 1
LCM(84467,84486) = 7136278962
Least Common Multiple (LCM) of 84467 and 84486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84467 and 84486. First we will calculate the prime factors of 84467 and 84486.
Prime Factorization of 84467
Prime factors of 84467 are 84467. Prime factorization of 84467 in exponential form is:
84467 = 844671
Prime Factorization of 84486
Prime factors of 84486 are 2, 3, 14081. Prime factorization of 84486 in exponential form is:
84486 = 21 × 31 × 140811
Now multiplying the highest exponent prime factors to calculate the LCM of 84467 and 84486.
LCM(84467,84486) = 844671 × 21 × 31 × 140811
LCM(84467,84486) = 7136278962
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