What is the Least Common Multiple of 8873 and 8881?
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 8873 and 8881 is 78801113.
LCM(8873,8881) = 78801113
Least Common Multiple of 8873 and 8881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8873 and 8881, than apply into the LCM equation.
GCF(8873,8881) = 1
LCM(8873,8881) = ( 8873 × 8881) / 1
LCM(8873,8881) = 78801113 / 1
LCM(8873,8881) = 78801113
Least Common Multiple (LCM) of 8873 and 8881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8873 and 8881. First we will calculate the prime factors of 8873 and 8881.
Prime Factorization of 8873
Prime factors of 8873 are 19, 467. Prime factorization of 8873 in exponential form is:
8873 = 191 × 4671
Prime Factorization of 8881
Prime factors of 8881 are 83, 107. Prime factorization of 8881 in exponential form is:
8881 = 831 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 8873 and 8881.
LCM(8873,8881) = 191 × 4671 × 831 × 1071
LCM(8873,8881) = 78801113
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