What is the Least Common Multiple of 92683 and 92698?
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 92683 and 92698 is 8591528734.
LCM(92683,92698) = 8591528734
Least Common Multiple of 92683 and 92698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92683 and 92698, than apply into the LCM equation.
GCF(92683,92698) = 1
LCM(92683,92698) = ( 92683 × 92698) / 1
LCM(92683,92698) = 8591528734 / 1
LCM(92683,92698) = 8591528734
Least Common Multiple (LCM) of 92683 and 92698 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92683 and 92698. First we will calculate the prime factors of 92683 and 92698.
Prime Factorization of 92683
Prime factors of 92683 are 92683. Prime factorization of 92683 in exponential form is:
92683 = 926831
Prime Factorization of 92698
Prime factors of 92698 are 2, 46349. Prime factorization of 92698 in exponential form is:
92698 = 21 × 463491
Now multiplying the highest exponent prime factors to calculate the LCM of 92683 and 92698.
LCM(92683,92698) = 926831 × 21 × 463491
LCM(92683,92698) = 8591528734
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