What is the Least Common Multiple of 94856 and 94865?
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 94856 and 94865 is 8998514440.
LCM(94856,94865) = 8998514440
Least Common Multiple of 94856 and 94865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94856 and 94865, than apply into the LCM equation.
GCF(94856,94865) = 1
LCM(94856,94865) = ( 94856 × 94865) / 1
LCM(94856,94865) = 8998514440 / 1
LCM(94856,94865) = 8998514440
Least Common Multiple (LCM) of 94856 and 94865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94856 and 94865. First we will calculate the prime factors of 94856 and 94865.
Prime Factorization of 94856
Prime factors of 94856 are 2, 71, 167. Prime factorization of 94856 in exponential form is:
94856 = 23 × 711 × 1671
Prime Factorization of 94865
Prime factors of 94865 are 5, 18973. Prime factorization of 94865 in exponential form is:
94865 = 51 × 189731
Now multiplying the highest exponent prime factors to calculate the LCM of 94856 and 94865.
LCM(94856,94865) = 23 × 711 × 1671 × 51 × 189731
LCM(94856,94865) = 8998514440
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