What is the Least Common Multiple of 83186 and 83200?
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 83186 and 83200 is 3460537600.
LCM(83186,83200) = 3460537600
Least Common Multiple of 83186 and 83200 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83186 and 83200, than apply into the LCM equation.
GCF(83186,83200) = 2
LCM(83186,83200) = ( 83186 × 83200) / 2
LCM(83186,83200) = 6921075200 / 2
LCM(83186,83200) = 3460537600
Least Common Multiple (LCM) of 83186 and 83200 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83186 and 83200. First we will calculate the prime factors of 83186 and 83200.
Prime Factorization of 83186
Prime factors of 83186 are 2, 41593. Prime factorization of 83186 in exponential form is:
83186 = 21 × 415931
Prime Factorization of 83200
Prime factors of 83200 are 2, 5, 13. Prime factorization of 83200 in exponential form is:
83200 = 28 × 52 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 83186 and 83200.
LCM(83186,83200) = 28 × 415931 × 52 × 131
LCM(83186,83200) = 3460537600
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