What is the Least Common Multiple of 92844 and 92849?
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 92844 and 92849 is 8620472556.
LCM(92844,92849) = 8620472556
Least Common Multiple of 92844 and 92849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92844 and 92849, than apply into the LCM equation.
GCF(92844,92849) = 1
LCM(92844,92849) = ( 92844 × 92849) / 1
LCM(92844,92849) = 8620472556 / 1
LCM(92844,92849) = 8620472556
Least Common Multiple (LCM) of 92844 and 92849 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92844 and 92849. First we will calculate the prime factors of 92844 and 92849.
Prime Factorization of 92844
Prime factors of 92844 are 2, 3, 2579. Prime factorization of 92844 in exponential form is:
92844 = 22 × 32 × 25791
Prime Factorization of 92849
Prime factors of 92849 are 92849. Prime factorization of 92849 in exponential form is:
92849 = 928491
Now multiplying the highest exponent prime factors to calculate the LCM of 92844 and 92849.
LCM(92844,92849) = 22 × 32 × 25791 × 928491
LCM(92844,92849) = 8620472556
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