What is the Least Common Multiple of 94841 and 94856?
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 94841 and 94856 is 8996237896.
LCM(94841,94856) = 8996237896
Least Common Multiple of 94841 and 94856 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94841 and 94856, than apply into the LCM equation.
GCF(94841,94856) = 1
LCM(94841,94856) = ( 94841 × 94856) / 1
LCM(94841,94856) = 8996237896 / 1
LCM(94841,94856) = 8996237896
Least Common Multiple (LCM) of 94841 and 94856 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94841 and 94856. First we will calculate the prime factors of 94841 and 94856.
Prime Factorization of 94841
Prime factors of 94841 are 94841. Prime factorization of 94841 in exponential form is:
94841 = 948411
Prime Factorization of 94856
Prime factors of 94856 are 2, 71, 167. Prime factorization of 94856 in exponential form is:
94856 = 23 × 711 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 94841 and 94856.
LCM(94841,94856) = 948411 × 23 × 711 × 1671
LCM(94841,94856) = 8996237896
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