What is the Least Common Multiple of 99176 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 99176 and 99181 is 9836374856.
LCM(99176,99181) = 9836374856
Least Common Multiple of 99176 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 99176 and 99181, than apply into the LCM equation.
GCF(99176,99181) = 1
LCM(99176,99181) = ( 99176 × 99181) / 1
LCM(99176,99181) = 9836374856 / 1
LCM(99176,99181) = 9836374856
Least Common Multiple (LCM) of 99176 and 99181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99176 and 99181. First we will calculate the prime factors of 99176 and 99181.
Prime Factorization of 99176
Prime factors of 99176 are 2, 7, 11, 23. Prime factorization of 99176 in exponential form is:
99176 = 23 × 72 × 111 × 231
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 99176 and 99181.
LCM(99176,99181) = 23 × 72 × 111 × 231 × 991811
LCM(99176,99181) = 9836374856
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