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What is the Least Common Multiple of 94821 and 94834?

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 94834 is 8992254714.

LCM(94821,94834) = 8992254714

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Least Common Multiple of 94821 and 94834 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 94834, than apply into the LCM equation.

GCF(94821,94834) = 1
LCM(94821,94834) = ( 94821 × 94834) / 1
LCM(94821,94834) = 8992254714 / 1
LCM(94821,94834) = 8992254714

Least Common Multiple (LCM) of 94821 and 94834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94821 and 94834. First we will calculate the prime factors of 94821 and 94834.

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 94834

Prime factors of 94834 are 2, 47417. Prime factorization of 94834 in exponential form is:

94834 = 21 × 474171

Now multiplying the highest exponent prime factors to calculate the LCM of 94821 and 94834.

LCM(94821,94834) = 31 × 316071 × 21 × 474171
LCM(94821,94834) = 8992254714