What is the Least Common Multiple of 92798 and 92809?
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 92798 and 92809 is 8612489582.
LCM(92798,92809) = 8612489582
Least Common Multiple of 92798 and 92809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92798 and 92809, than apply into the LCM equation.
GCF(92798,92809) = 1
LCM(92798,92809) = ( 92798 × 92809) / 1
LCM(92798,92809) = 8612489582 / 1
LCM(92798,92809) = 8612489582
Least Common Multiple (LCM) of 92798 and 92809 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92798 and 92809. First we will calculate the prime factors of 92798 and 92809.
Prime Factorization of 92798
Prime factors of 92798 are 2, 46399. Prime factorization of 92798 in exponential form is:
92798 = 21 × 463991
Prime Factorization of 92809
Prime factors of 92809 are 92809. Prime factorization of 92809 in exponential form is:
92809 = 928091
Now multiplying the highest exponent prime factors to calculate the LCM of 92798 and 92809.
LCM(92798,92809) = 21 × 463991 × 928091
LCM(92798,92809) = 8612489582
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