What is the Least Common Multiple of 94013 and 94018?
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 94013 and 94018 is 8838914234.
LCM(94013,94018) = 8838914234
Least Common Multiple of 94013 and 94018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94013 and 94018, than apply into the LCM equation.
GCF(94013,94018) = 1
LCM(94013,94018) = ( 94013 × 94018) / 1
LCM(94013,94018) = 8838914234 / 1
LCM(94013,94018) = 8838914234
Least Common Multiple (LCM) of 94013 and 94018 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94013 and 94018. First we will calculate the prime factors of 94013 and 94018.
Prime Factorization of 94013
Prime factors of 94013 are 41, 2293. Prime factorization of 94013 in exponential form is:
94013 = 411 × 22931
Prime Factorization of 94018
Prime factors of 94018 are 2, 29, 1621. Prime factorization of 94018 in exponential form is:
94018 = 21 × 291 × 16211
Now multiplying the highest exponent prime factors to calculate the LCM of 94013 and 94018.
LCM(94013,94018) = 411 × 22931 × 21 × 291 × 16211
LCM(94013,94018) = 8838914234
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