What is the Least Common Multiple of 94818 and 94823?
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 94818 and 94823 is 8990927214.
LCM(94818,94823) = 8990927214
Least Common Multiple of 94818 and 94823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94818 and 94823, than apply into the LCM equation.
GCF(94818,94823) = 1
LCM(94818,94823) = ( 94818 × 94823) / 1
LCM(94818,94823) = 8990927214 / 1
LCM(94818,94823) = 8990927214
Least Common Multiple (LCM) of 94818 and 94823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94818 and 94823. First we will calculate the prime factors of 94818 and 94823.
Prime Factorization of 94818
Prime factors of 94818 are 2, 3, 15803. Prime factorization of 94818 in exponential form is:
94818 = 21 × 31 × 158031
Prime Factorization of 94823
Prime factors of 94823 are 94823. Prime factorization of 94823 in exponential form is:
94823 = 948231
Now multiplying the highest exponent prime factors to calculate the LCM of 94818 and 94823.
LCM(94818,94823) = 21 × 31 × 158031 × 948231
LCM(94818,94823) = 8990927214
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