What is the Least Common Multiple of 8881 and 8898?
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 8881 and 8898 is 79023138.
LCM(8881,8898) = 79023138
Least Common Multiple of 8881 and 8898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8881 and 8898, than apply into the LCM equation.
GCF(8881,8898) = 1
LCM(8881,8898) = ( 8881 × 8898) / 1
LCM(8881,8898) = 79023138 / 1
LCM(8881,8898) = 79023138
Least Common Multiple (LCM) of 8881 and 8898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8881 and 8898. First we will calculate the prime factors of 8881 and 8898.
Prime Factorization of 8881
Prime factors of 8881 are 83, 107. Prime factorization of 8881 in exponential form is:
8881 = 831 × 1071
Prime Factorization of 8898
Prime factors of 8898 are 2, 3, 1483. Prime factorization of 8898 in exponential form is:
8898 = 21 × 31 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 8881 and 8898.
LCM(8881,8898) = 831 × 1071 × 21 × 31 × 14831
LCM(8881,8898) = 79023138
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