What is the Least Common Multiple of 84247 and 84254?
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 84247 and 84254 is 7098146738.
LCM(84247,84254) = 7098146738
Least Common Multiple of 84247 and 84254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84247 and 84254, than apply into the LCM equation.
GCF(84247,84254) = 1
LCM(84247,84254) = ( 84247 × 84254) / 1
LCM(84247,84254) = 7098146738 / 1
LCM(84247,84254) = 7098146738
Least Common Multiple (LCM) of 84247 and 84254 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84247 and 84254. First we will calculate the prime factors of 84247 and 84254.
Prime Factorization of 84247
Prime factors of 84247 are 84247. Prime factorization of 84247 in exponential form is:
84247 = 842471
Prime Factorization of 84254
Prime factors of 84254 are 2, 103, 409. Prime factorization of 84254 in exponential form is:
84254 = 21 × 1031 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 84247 and 84254.
LCM(84247,84254) = 842471 × 21 × 1031 × 4091
LCM(84247,84254) = 7098146738
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