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What is the Least Common Multiple of 94821 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 94821 and 94829 is 8991780609.

LCM(94821,94829) = 8991780609

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Least Common Multiple of 94821 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 94821 and 94829, than apply into the LCM equation.

GCF(94821,94829) = 1
LCM(94821,94829) = ( 94821 × 94829) / 1
LCM(94821,94829) = 8991780609 / 1
LCM(94821,94829) = 8991780609

Least Common Multiple (LCM) of 94821 and 94829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94821 and 94829. First we will calculate the prime factors of 94821 and 94829.

Prime Factorization of 94821

Prime factors of 94821 are 3, 31607. Prime factorization of 94821 in exponential form is:

94821 = 31 × 316071

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 94821 and 94829.

LCM(94821,94829) = 31 × 316071 × 71 × 191 × 231 × 311
LCM(94821,94829) = 8991780609