What is the Least Common Multiple of 94167 and 94186?
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 94167 and 94186 is 8869213062.
LCM(94167,94186) = 8869213062
Least Common Multiple of 94167 and 94186 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94167 and 94186, than apply into the LCM equation.
GCF(94167,94186) = 1
LCM(94167,94186) = ( 94167 × 94186) / 1
LCM(94167,94186) = 8869213062 / 1
LCM(94167,94186) = 8869213062
Least Common Multiple (LCM) of 94167 and 94186 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94167 and 94186. First we will calculate the prime factors of 94167 and 94186.
Prime Factorization of 94167
Prime factors of 94167 are 3, 10463. Prime factorization of 94167 in exponential form is:
94167 = 32 × 104631
Prime Factorization of 94186
Prime factors of 94186 are 2, 47093. Prime factorization of 94186 in exponential form is:
94186 = 21 × 470931
Now multiplying the highest exponent prime factors to calculate the LCM of 94167 and 94186.
LCM(94167,94186) = 32 × 104631 × 21 × 470931
LCM(94167,94186) = 8869213062
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