What is the Least Common Multiple of 94831 and 94844?
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 94844 is 8994151364.
LCM(94831,94844) = 8994151364
Least Common Multiple of 94831 and 94844 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 94844, than apply into the LCM equation.
GCF(94831,94844) = 1
LCM(94831,94844) = ( 94831 × 94844) / 1
LCM(94831,94844) = 8994151364 / 1
LCM(94831,94844) = 8994151364
Least Common Multiple (LCM) of 94831 and 94844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94831 and 94844. First we will calculate the prime factors of 94831 and 94844.
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 94844
Prime factors of 94844 are 2, 131, 181. Prime factorization of 94844 in exponential form is:
94844 = 22 × 1311 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 94831 and 94844.
LCM(94831,94844) = 111 × 371 × 2331 × 22 × 1311 × 1811
LCM(94831,94844) = 8994151364
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