What is the Least Common Multiple of 99163 and 99181?
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 99163 and 99181 is 9835085503.
LCM(99163,99181) = 9835085503
Least Common Multiple of 99163 and 99181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99163 and 99181, than apply into the LCM equation.
GCF(99163,99181) = 1
LCM(99163,99181) = ( 99163 × 99181) / 1
LCM(99163,99181) = 9835085503 / 1
LCM(99163,99181) = 9835085503
Least Common Multiple (LCM) of 99163 and 99181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99163 and 99181. First we will calculate the prime factors of 99163 and 99181.
Prime Factorization of 99163
Prime factors of 99163 are 53, 1871. Prime factorization of 99163 in exponential form is:
99163 = 531 × 18711
Prime Factorization of 99181
Prime factors of 99181 are 99181. Prime factorization of 99181 in exponential form is:
99181 = 991811
Now multiplying the highest exponent prime factors to calculate the LCM of 99163 and 99181.
LCM(99163,99181) = 531 × 18711 × 991811
LCM(99163,99181) = 9835085503
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