What is the Least Common Multiple of 83847 and 83861?
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 83847 and 83861 is 7031493267.
LCM(83847,83861) = 7031493267
Least Common Multiple of 83847 and 83861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83847 and 83861, than apply into the LCM equation.
GCF(83847,83861) = 1
LCM(83847,83861) = ( 83847 × 83861) / 1
LCM(83847,83861) = 7031493267 / 1
LCM(83847,83861) = 7031493267
Least Common Multiple (LCM) of 83847 and 83861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83847 and 83861. First we will calculate the prime factors of 83847 and 83861.
Prime Factorization of 83847
Prime factors of 83847 are 3, 19, 1471. Prime factorization of 83847 in exponential form is:
83847 = 31 × 191 × 14711
Prime Factorization of 83861
Prime factors of 83861 are 17, 4933. Prime factorization of 83861 in exponential form is:
83861 = 171 × 49331
Now multiplying the highest exponent prime factors to calculate the LCM of 83847 and 83861.
LCM(83847,83861) = 31 × 191 × 14711 × 171 × 49331
LCM(83847,83861) = 7031493267
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