What is the Least Common Multiple of 94166 and 94185?
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 94166 and 94185 is 8869024710.
LCM(94166,94185) = 8869024710
Least Common Multiple of 94166 and 94185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94166 and 94185, than apply into the LCM equation.
GCF(94166,94185) = 1
LCM(94166,94185) = ( 94166 × 94185) / 1
LCM(94166,94185) = 8869024710 / 1
LCM(94166,94185) = 8869024710
Least Common Multiple (LCM) of 94166 and 94185 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94166 and 94185. First we will calculate the prime factors of 94166 and 94185.
Prime Factorization of 94166
Prime factors of 94166 are 2, 197, 239. Prime factorization of 94166 in exponential form is:
94166 = 21 × 1971 × 2391
Prime Factorization of 94185
Prime factors of 94185 are 3, 5, 7, 13, 23. Prime factorization of 94185 in exponential form is:
94185 = 32 × 51 × 71 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 94166 and 94185.
LCM(94166,94185) = 21 × 1971 × 2391 × 32 × 51 × 71 × 131 × 231
LCM(94166,94185) = 8869024710
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