What is the Least Common Multiple of 94159 and 94165?
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 94159 and 94165 is 8866482235.
LCM(94159,94165) = 8866482235
Least Common Multiple of 94159 and 94165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94159 and 94165, than apply into the LCM equation.
GCF(94159,94165) = 1
LCM(94159,94165) = ( 94159 × 94165) / 1
LCM(94159,94165) = 8866482235 / 1
LCM(94159,94165) = 8866482235
Least Common Multiple (LCM) of 94159 and 94165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94159 and 94165. First we will calculate the prime factors of 94159 and 94165.
Prime Factorization of 94159
Prime factors of 94159 are 13, 7243. Prime factorization of 94159 in exponential form is:
94159 = 131 × 72431
Prime Factorization of 94165
Prime factors of 94165 are 5, 37, 509. Prime factorization of 94165 in exponential form is:
94165 = 51 × 371 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 94159 and 94165.
LCM(94159,94165) = 131 × 72431 × 51 × 371 × 5091
LCM(94159,94165) = 8866482235
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