What is the Least Common Multiple of 84444 and 84457?
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 84444 and 84457 is 7131886908.
LCM(84444,84457) = 7131886908
Least Common Multiple of 84444 and 84457 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84444 and 84457, than apply into the LCM equation.
GCF(84444,84457) = 1
LCM(84444,84457) = ( 84444 × 84457) / 1
LCM(84444,84457) = 7131886908 / 1
LCM(84444,84457) = 7131886908
Least Common Multiple (LCM) of 84444 and 84457 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84444 and 84457. First we will calculate the prime factors of 84444 and 84457.
Prime Factorization of 84444
Prime factors of 84444 are 2, 3, 31, 227. Prime factorization of 84444 in exponential form is:
84444 = 22 × 31 × 311 × 2271
Prime Factorization of 84457
Prime factors of 84457 are 84457. Prime factorization of 84457 in exponential form is:
84457 = 844571
Now multiplying the highest exponent prime factors to calculate the LCM of 84444 and 84457.
LCM(84444,84457) = 22 × 31 × 311 × 2271 × 844571
LCM(84444,84457) = 7131886908
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