What is the Least Common Multiple of 8811 and 8823?
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 8811 and 8823 is 25913151.
LCM(8811,8823) = 25913151
Least Common Multiple of 8811 and 8823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8811 and 8823, than apply into the LCM equation.
GCF(8811,8823) = 3
LCM(8811,8823) = ( 8811 × 8823) / 3
LCM(8811,8823) = 77739453 / 3
LCM(8811,8823) = 25913151
Least Common Multiple (LCM) of 8811 and 8823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8811 and 8823. First we will calculate the prime factors of 8811 and 8823.
Prime Factorization of 8811
Prime factors of 8811 are 3, 11, 89. Prime factorization of 8811 in exponential form is:
8811 = 32 × 111 × 891
Prime Factorization of 8823
Prime factors of 8823 are 3, 17, 173. Prime factorization of 8823 in exponential form is:
8823 = 31 × 171 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 8811 and 8823.
LCM(8811,8823) = 32 × 111 × 891 × 171 × 1731
LCM(8811,8823) = 25913151
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