What is the Least Common Multiple of 94843 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 94843 and 94862 is 8996996666.
LCM(94843,94862) = 8996996666
Least Common Multiple of 94843 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 94843 and 94862, than apply into the LCM equation.
GCF(94843,94862) = 1
LCM(94843,94862) = ( 94843 × 94862) / 1
LCM(94843,94862) = 8996996666 / 1
LCM(94843,94862) = 8996996666
Least Common Multiple (LCM) of 94843 and 94862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94843 and 94862. First we will calculate the prime factors of 94843 and 94862.
Prime Factorization of 94843
Prime factors of 94843 are 7, 17, 797. Prime factorization of 94843 in exponential form is:
94843 = 71 × 171 × 7971
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 94843 and 94862.
LCM(94843,94862) = 71 × 171 × 7971 × 21 × 474311
LCM(94843,94862) = 8996996666
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