What is the Least Common Multiple of 94682 and 94686?
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 94682 and 94686 is 4482529926.
LCM(94682,94686) = 4482529926
Least Common Multiple of 94682 and 94686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94682 and 94686, than apply into the LCM equation.
GCF(94682,94686) = 2
LCM(94682,94686) = ( 94682 × 94686) / 2
LCM(94682,94686) = 8965059852 / 2
LCM(94682,94686) = 4482529926
Least Common Multiple (LCM) of 94682 and 94686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94682 and 94686. First we will calculate the prime factors of 94682 and 94686.
Prime Factorization of 94682
Prime factors of 94682 are 2, 7, 6763. Prime factorization of 94682 in exponential form is:
94682 = 21 × 71 × 67631
Prime Factorization of 94686
Prime factors of 94686 are 2, 3, 43, 367. Prime factorization of 94686 in exponential form is:
94686 = 21 × 31 × 431 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 94682 and 94686.
LCM(94682,94686) = 21 × 71 × 67631 × 31 × 431 × 3671
LCM(94682,94686) = 4482529926
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