What is the Least Common Multiple of 84443 and 84453?
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 84443 and 84453 is 7131464679.
LCM(84443,84453) = 7131464679
Least Common Multiple of 84443 and 84453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84443 and 84453, than apply into the LCM equation.
GCF(84443,84453) = 1
LCM(84443,84453) = ( 84443 × 84453) / 1
LCM(84443,84453) = 7131464679 / 1
LCM(84443,84453) = 7131464679
Least Common Multiple (LCM) of 84443 and 84453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84443 and 84453. First we will calculate the prime factors of 84443 and 84453.
Prime Factorization of 84443
Prime factors of 84443 are 84443. Prime factorization of 84443 in exponential form is:
84443 = 844431
Prime Factorization of 84453
Prime factors of 84453 are 3, 28151. Prime factorization of 84453 in exponential form is:
84453 = 31 × 281511
Now multiplying the highest exponent prime factors to calculate the LCM of 84443 and 84453.
LCM(84443,84453) = 844431 × 31 × 281511
LCM(84443,84453) = 7131464679
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