What is the Least Common Multiple of 94017 and 94027?
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 94017 and 94027 is 8840136459.
LCM(94017,94027) = 8840136459
Least Common Multiple of 94017 and 94027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94017 and 94027, than apply into the LCM equation.
GCF(94017,94027) = 1
LCM(94017,94027) = ( 94017 × 94027) / 1
LCM(94017,94027) = 8840136459 / 1
LCM(94017,94027) = 8840136459
Least Common Multiple (LCM) of 94017 and 94027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94017 and 94027. First we will calculate the prime factors of 94017 and 94027.
Prime Factorization of 94017
Prime factors of 94017 are 3, 7, 11, 37. Prime factorization of 94017 in exponential form is:
94017 = 31 × 71 × 112 × 371
Prime Factorization of 94027
Prime factors of 94027 are 17, 5531. Prime factorization of 94027 in exponential form is:
94027 = 171 × 55311
Now multiplying the highest exponent prime factors to calculate the LCM of 94017 and 94027.
LCM(94017,94027) = 31 × 71 × 112 × 371 × 171 × 55311
LCM(94017,94027) = 8840136459
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