What is the Least Common Multiple of 94825 and 94843?
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 94825 and 94843 is 8993487475.
LCM(94825,94843) = 8993487475
Least Common Multiple of 94825 and 94843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94825 and 94843, than apply into the LCM equation.
GCF(94825,94843) = 1
LCM(94825,94843) = ( 94825 × 94843) / 1
LCM(94825,94843) = 8993487475 / 1
LCM(94825,94843) = 8993487475
Least Common Multiple (LCM) of 94825 and 94843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94825 and 94843. First we will calculate the prime factors of 94825 and 94843.
Prime Factorization of 94825
Prime factors of 94825 are 5, 3793. Prime factorization of 94825 in exponential form is:
94825 = 52 × 37931
Prime Factorization of 94843
Prime factors of 94843 are 7, 17, 797. Prime factorization of 94843 in exponential form is:
94843 = 71 × 171 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 94825 and 94843.
LCM(94825,94843) = 52 × 37931 × 71 × 171 × 7971
LCM(94825,94843) = 8993487475
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