What is the Least Common Multiple of 92833 and 92851?
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 92833 and 92851 is 8619636883.
LCM(92833,92851) = 8619636883
Least Common Multiple of 92833 and 92851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92833 and 92851, than apply into the LCM equation.
GCF(92833,92851) = 1
LCM(92833,92851) = ( 92833 × 92851) / 1
LCM(92833,92851) = 8619636883 / 1
LCM(92833,92851) = 8619636883
Least Common Multiple (LCM) of 92833 and 92851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92833 and 92851. First we will calculate the prime factors of 92833 and 92851.
Prime Factorization of 92833
Prime factors of 92833 are 13, 37, 193. Prime factorization of 92833 in exponential form is:
92833 = 131 × 371 × 1931
Prime Factorization of 92851
Prime factors of 92851 are 11, 23, 367. Prime factorization of 92851 in exponential form is:
92851 = 111 × 231 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 92833 and 92851.
LCM(92833,92851) = 131 × 371 × 1931 × 111 × 231 × 3671
LCM(92833,92851) = 8619636883
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