What is the Least Common Multiple of 94883 and 94902?
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 94883 and 94902 is 9004586466.
LCM(94883,94902) = 9004586466
Least Common Multiple of 94883 and 94902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94883 and 94902, than apply into the LCM equation.
GCF(94883,94902) = 1
LCM(94883,94902) = ( 94883 × 94902) / 1
LCM(94883,94902) = 9004586466 / 1
LCM(94883,94902) = 9004586466
Least Common Multiple (LCM) of 94883 and 94902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94883 and 94902. First we will calculate the prime factors of 94883 and 94902.
Prime Factorization of 94883
Prime factors of 94883 are 239, 397. Prime factorization of 94883 in exponential form is:
94883 = 2391 × 3971
Prime Factorization of 94902
Prime factors of 94902 are 2, 3, 15817. Prime factorization of 94902 in exponential form is:
94902 = 21 × 31 × 158171
Now multiplying the highest exponent prime factors to calculate the LCM of 94883 and 94902.
LCM(94883,94902) = 2391 × 3971 × 21 × 31 × 158171
LCM(94883,94902) = 9004586466
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