What is the Least Common Multiple of 84655 and 84668?
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 84655 and 84668 is 7167569540.
LCM(84655,84668) = 7167569540
Least Common Multiple of 84655 and 84668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84655 and 84668, than apply into the LCM equation.
GCF(84655,84668) = 1
LCM(84655,84668) = ( 84655 × 84668) / 1
LCM(84655,84668) = 7167569540 / 1
LCM(84655,84668) = 7167569540
Least Common Multiple (LCM) of 84655 and 84668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84655 and 84668. First we will calculate the prime factors of 84655 and 84668.
Prime Factorization of 84655
Prime factors of 84655 are 5, 16931. Prime factorization of 84655 in exponential form is:
84655 = 51 × 169311
Prime Factorization of 84668
Prime factors of 84668 are 2, 61, 347. Prime factorization of 84668 in exponential form is:
84668 = 22 × 611 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 84655 and 84668.
LCM(84655,84668) = 51 × 169311 × 22 × 611 × 3471
LCM(84655,84668) = 7167569540
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