What is the Least Common Multiple of 94856 and 94862?
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 94862 is 4499114936.
LCM(94856,94862) = 4499114936
Least Common Multiple of 94856 and 94862 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 94862, than apply into the LCM equation.
GCF(94856,94862) = 2
LCM(94856,94862) = ( 94856 × 94862) / 2
LCM(94856,94862) = 8998229872 / 2
LCM(94856,94862) = 4499114936
Least Common Multiple (LCM) of 94856 and 94862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94856 and 94862. First we will calculate the prime factors of 94856 and 94862.
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 94862
Prime factors of 94862 are 2, 47431. Prime factorization of 94862 in exponential form is:
94862 = 21 × 474311
Now multiplying the highest exponent prime factors to calculate the LCM of 94856 and 94862.
LCM(94856,94862) = 23 × 711 × 1671 × 474311
LCM(94856,94862) = 4499114936
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