What is the Least Common Multiple of 84483 and 84487?
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 84483 and 84487 is 7137715221.
LCM(84483,84487) = 7137715221
Least Common Multiple of 84483 and 84487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84483 and 84487, than apply into the LCM equation.
GCF(84483,84487) = 1
LCM(84483,84487) = ( 84483 × 84487) / 1
LCM(84483,84487) = 7137715221 / 1
LCM(84483,84487) = 7137715221
Least Common Multiple (LCM) of 84483 and 84487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84483 and 84487. First we will calculate the prime factors of 84483 and 84487.
Prime Factorization of 84483
Prime factors of 84483 are 3, 7, 149. Prime factorization of 84483 in exponential form is:
84483 = 34 × 71 × 1491
Prime Factorization of 84487
Prime factors of 84487 are 13, 67, 97. Prime factorization of 84487 in exponential form is:
84487 = 131 × 671 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 84483 and 84487.
LCM(84483,84487) = 34 × 71 × 1491 × 131 × 671 × 971
LCM(84483,84487) = 7137715221
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