What is the Least Common Multiple of 94826 and 94845?
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 94826 and 94845 is 8993771970.
LCM(94826,94845) = 8993771970
Least Common Multiple of 94826 and 94845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94826 and 94845, than apply into the LCM equation.
GCF(94826,94845) = 1
LCM(94826,94845) = ( 94826 × 94845) / 1
LCM(94826,94845) = 8993771970 / 1
LCM(94826,94845) = 8993771970
Least Common Multiple (LCM) of 94826 and 94845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94826 and 94845. First we will calculate the prime factors of 94826 and 94845.
Prime Factorization of 94826
Prime factors of 94826 are 2, 17, 2789. Prime factorization of 94826 in exponential form is:
94826 = 21 × 171 × 27891
Prime Factorization of 94845
Prime factors of 94845 are 3, 5, 6323. Prime factorization of 94845 in exponential form is:
94845 = 31 × 51 × 63231
Now multiplying the highest exponent prime factors to calculate the LCM of 94826 and 94845.
LCM(94826,94845) = 21 × 171 × 27891 × 31 × 51 × 63231
LCM(94826,94845) = 8993771970
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