What is the Least Common Multiple of 99851 and 99862?
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 99851 and 99862 is 9971320562.
LCM(99851,99862) = 9971320562
Least Common Multiple of 99851 and 99862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99851 and 99862, than apply into the LCM equation.
GCF(99851,99862) = 1
LCM(99851,99862) = ( 99851 × 99862) / 1
LCM(99851,99862) = 9971320562 / 1
LCM(99851,99862) = 9971320562
Least Common Multiple (LCM) of 99851 and 99862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99851 and 99862. First we will calculate the prime factors of 99851 and 99862.
Prime Factorization of 99851
Prime factors of 99851 are 31, 3221. Prime factorization of 99851 in exponential form is:
99851 = 311 × 32211
Prime Factorization of 99862
Prime factors of 99862 are 2, 7, 1019. Prime factorization of 99862 in exponential form is:
99862 = 21 × 72 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 99851 and 99862.
LCM(99851,99862) = 311 × 32211 × 21 × 72 × 10191
LCM(99851,99862) = 9971320562
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