What is the Least Common Multiple of 92809 and 92822?
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 92809 and 92822 is 8614716998.
LCM(92809,92822) = 8614716998
Least Common Multiple of 92809 and 92822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92809 and 92822, than apply into the LCM equation.
GCF(92809,92822) = 1
LCM(92809,92822) = ( 92809 × 92822) / 1
LCM(92809,92822) = 8614716998 / 1
LCM(92809,92822) = 8614716998
Least Common Multiple (LCM) of 92809 and 92822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92809 and 92822. First we will calculate the prime factors of 92809 and 92822.
Prime Factorization of 92809
Prime factors of 92809 are 92809. Prime factorization of 92809 in exponential form is:
92809 = 928091
Prime Factorization of 92822
Prime factors of 92822 are 2, 46411. Prime factorization of 92822 in exponential form is:
92822 = 21 × 464111
Now multiplying the highest exponent prime factors to calculate the LCM of 92809 and 92822.
LCM(92809,92822) = 928091 × 21 × 464111
LCM(92809,92822) = 8614716998
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