What is the Least Common Multiple of 99217 and 99227?
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 99217 and 99227 is 9845005259.
LCM(99217,99227) = 9845005259
Least Common Multiple of 99217 and 99227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99217 and 99227, than apply into the LCM equation.
GCF(99217,99227) = 1
LCM(99217,99227) = ( 99217 × 99227) / 1
LCM(99217,99227) = 9845005259 / 1
LCM(99217,99227) = 9845005259
Least Common Multiple (LCM) of 99217 and 99227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99217 and 99227. First we will calculate the prime factors of 99217 and 99227.
Prime Factorization of 99217
Prime factors of 99217 are 47, 2111. Prime factorization of 99217 in exponential form is:
99217 = 471 × 21111
Prime Factorization of 99227
Prime factors of 99227 are 67, 1481. Prime factorization of 99227 in exponential form is:
99227 = 671 × 14811
Now multiplying the highest exponent prime factors to calculate the LCM of 99217 and 99227.
LCM(99217,99227) = 471 × 21111 × 671 × 14811
LCM(99217,99227) = 9845005259
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