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What is the Least Common Multiple of 94819 and 94829?

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 94819 and 94829 is 8991590951.

LCM(94819,94829) = 8991590951

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Least Common Multiple of 94819 and 94829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94819 and 94829, than apply into the LCM equation.

GCF(94819,94829) = 1
LCM(94819,94829) = ( 94819 × 94829) / 1
LCM(94819,94829) = 8991590951 / 1
LCM(94819,94829) = 8991590951

Least Common Multiple (LCM) of 94819 and 94829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94819 and 94829. First we will calculate the prime factors of 94819 and 94829.

Prime Factorization of 94819

Prime factors of 94819 are 94819. Prime factorization of 94819 in exponential form is:

94819 = 948191

Prime Factorization of 94829

Prime factors of 94829 are 7, 19, 23, 31. Prime factorization of 94829 in exponential form is:

94829 = 71 × 191 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 94819 and 94829.

LCM(94819,94829) = 948191 × 71 × 191 × 231 × 311
LCM(94819,94829) = 8991590951