What is the Least Common Multiple of 94843 and 94855?
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 94855 is 8996332765.
LCM(94843,94855) = 8996332765
Least Common Multiple of 94843 and 94855 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 94855, than apply into the LCM equation.
GCF(94843,94855) = 1
LCM(94843,94855) = ( 94843 × 94855) / 1
LCM(94843,94855) = 8996332765 / 1
LCM(94843,94855) = 8996332765
Least Common Multiple (LCM) of 94843 and 94855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94843 and 94855. First we will calculate the prime factors of 94843 and 94855.
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 94855
Prime factors of 94855 are 5, 61, 311. Prime factorization of 94855 in exponential form is:
94855 = 51 × 611 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 94843 and 94855.
LCM(94843,94855) = 71 × 171 × 7971 × 51 × 611 × 3111
LCM(94843,94855) = 8996332765
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