What is the Least Common Multiple of 94158 and 94163?
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 94158 and 94163 is 8866199754.
LCM(94158,94163) = 8866199754
Least Common Multiple of 94158 and 94163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94158 and 94163, than apply into the LCM equation.
GCF(94158,94163) = 1
LCM(94158,94163) = ( 94158 × 94163) / 1
LCM(94158,94163) = 8866199754 / 1
LCM(94158,94163) = 8866199754
Least Common Multiple (LCM) of 94158 and 94163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94158 and 94163. First we will calculate the prime factors of 94158 and 94163.
Prime Factorization of 94158
Prime factors of 94158 are 2, 3, 5231. Prime factorization of 94158 in exponential form is:
94158 = 21 × 32 × 52311
Prime Factorization of 94163
Prime factors of 94163 are 17, 29, 191. Prime factorization of 94163 in exponential form is:
94163 = 171 × 291 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 94158 and 94163.
LCM(94158,94163) = 21 × 32 × 52311 × 171 × 291 × 1911
LCM(94158,94163) = 8866199754
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