What is the Least Common Multiple of 94831 and 94836?
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 94831 and 94836 is 8993392716.
LCM(94831,94836) = 8993392716
Least Common Multiple of 94831 and 94836 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94831 and 94836, than apply into the LCM equation.
GCF(94831,94836) = 1
LCM(94831,94836) = ( 94831 × 94836) / 1
LCM(94831,94836) = 8993392716 / 1
LCM(94831,94836) = 8993392716
Least Common Multiple (LCM) of 94831 and 94836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94831 and 94836. First we will calculate the prime factors of 94831 and 94836.
Prime Factorization of 94831
Prime factors of 94831 are 11, 37, 233. Prime factorization of 94831 in exponential form is:
94831 = 111 × 371 × 2331
Prime Factorization of 94836
Prime factors of 94836 are 2, 3, 7, 1129. Prime factorization of 94836 in exponential form is:
94836 = 22 × 31 × 71 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 94831 and 94836.
LCM(94831,94836) = 111 × 371 × 2331 × 22 × 31 × 71 × 11291
LCM(94831,94836) = 8993392716
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