What is the Least Common Multiple of 84897 and 84914?
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 84897 and 84914 is 7208943858.
LCM(84897,84914) = 7208943858
Least Common Multiple of 84897 and 84914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84897 and 84914, than apply into the LCM equation.
GCF(84897,84914) = 1
LCM(84897,84914) = ( 84897 × 84914) / 1
LCM(84897,84914) = 7208943858 / 1
LCM(84897,84914) = 7208943858
Least Common Multiple (LCM) of 84897 and 84914 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84897 and 84914. First we will calculate the prime factors of 84897 and 84914.
Prime Factorization of 84897
Prime factors of 84897 are 3, 9433. Prime factorization of 84897 in exponential form is:
84897 = 32 × 94331
Prime Factorization of 84914
Prime factors of 84914 are 2, 42457. Prime factorization of 84914 in exponential form is:
84914 = 21 × 424571
Now multiplying the highest exponent prime factors to calculate the LCM of 84897 and 84914.
LCM(84897,84914) = 32 × 94331 × 21 × 424571
LCM(84897,84914) = 7208943858
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