What is the Least Common Multiple of 95833 and 95851?
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 95833 and 95851 is 9185688883.
LCM(95833,95851) = 9185688883
Least Common Multiple of 95833 and 95851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95833 and 95851, than apply into the LCM equation.
GCF(95833,95851) = 1
LCM(95833,95851) = ( 95833 × 95851) / 1
LCM(95833,95851) = 9185688883 / 1
LCM(95833,95851) = 9185688883
Least Common Multiple (LCM) of 95833 and 95851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95833 and 95851. First we will calculate the prime factors of 95833 and 95851.
Prime Factorization of 95833
Prime factors of 95833 are 47, 2039. Prime factorization of 95833 in exponential form is:
95833 = 471 × 20391
Prime Factorization of 95851
Prime factors of 95851 are 7, 13693. Prime factorization of 95851 in exponential form is:
95851 = 71 × 136931
Now multiplying the highest exponent prime factors to calculate the LCM of 95833 and 95851.
LCM(95833,95851) = 471 × 20391 × 71 × 136931
LCM(95833,95851) = 9185688883
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