What is the Least Common Multiple of 99211 and 99226?
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 99211 and 99226 is 9844310686.
LCM(99211,99226) = 9844310686
Least Common Multiple of 99211 and 99226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99211 and 99226, than apply into the LCM equation.
GCF(99211,99226) = 1
LCM(99211,99226) = ( 99211 × 99226) / 1
LCM(99211,99226) = 9844310686 / 1
LCM(99211,99226) = 9844310686
Least Common Multiple (LCM) of 99211 and 99226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99211 and 99226. First we will calculate the prime factors of 99211 and 99226.
Prime Factorization of 99211
Prime factors of 99211 are 7, 14173. Prime factorization of 99211 in exponential form is:
99211 = 71 × 141731
Prime Factorization of 99226
Prime factors of 99226 are 2, 49613. Prime factorization of 99226 in exponential form is:
99226 = 21 × 496131
Now multiplying the highest exponent prime factors to calculate the LCM of 99211 and 99226.
LCM(99211,99226) = 71 × 141731 × 21 × 496131
LCM(99211,99226) = 9844310686
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