What is the Least Common Multiple of 8683 and 8698?
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 8683 and 8698 is 75524734.
LCM(8683,8698) = 75524734
Least Common Multiple of 8683 and 8698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8683 and 8698, than apply into the LCM equation.
GCF(8683,8698) = 1
LCM(8683,8698) = ( 8683 × 8698) / 1
LCM(8683,8698) = 75524734 / 1
LCM(8683,8698) = 75524734
Least Common Multiple (LCM) of 8683 and 8698 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8683 and 8698. First we will calculate the prime factors of 8683 and 8698.
Prime Factorization of 8683
Prime factors of 8683 are 19, 457. Prime factorization of 8683 in exponential form is:
8683 = 191 × 4571
Prime Factorization of 8698
Prime factors of 8698 are 2, 4349. Prime factorization of 8698 in exponential form is:
8698 = 21 × 43491
Now multiplying the highest exponent prime factors to calculate the LCM of 8683 and 8698.
LCM(8683,8698) = 191 × 4571 × 21 × 43491
LCM(8683,8698) = 75524734
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