What is the Least Common Multiple of 94017 and 94034?
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 94034 is 8840794578.
LCM(94017,94034) = 8840794578
Least Common Multiple of 94017 and 94034 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 94034, than apply into the LCM equation.
GCF(94017,94034) = 1
LCM(94017,94034) = ( 94017 × 94034) / 1
LCM(94017,94034) = 8840794578 / 1
LCM(94017,94034) = 8840794578
Least Common Multiple (LCM) of 94017 and 94034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94017 and 94034. First we will calculate the prime factors of 94017 and 94034.
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 94034
Prime factors of 94034 are 2, 47017. Prime factorization of 94034 in exponential form is:
94034 = 21 × 470171
Now multiplying the highest exponent prime factors to calculate the LCM of 94017 and 94034.
LCM(94017,94034) = 31 × 71 × 112 × 371 × 21 × 470171
LCM(94017,94034) = 8840794578
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