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What is the Least Common Multiple of 78794 and 78803?

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 78794 and 78803 is 6209203582.

LCM(78794,78803) = 6209203582

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Least Common Multiple of 78794 and 78803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78794 and 78803, than apply into the LCM equation.

GCF(78794,78803) = 1
LCM(78794,78803) = ( 78794 × 78803) / 1
LCM(78794,78803) = 6209203582 / 1
LCM(78794,78803) = 6209203582

Least Common Multiple (LCM) of 78794 and 78803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78794 and 78803. First we will calculate the prime factors of 78794 and 78803.

Prime Factorization of 78794

Prime factors of 78794 are 2, 39397. Prime factorization of 78794 in exponential form is:

78794 = 21 × 393971

Prime Factorization of 78803

Prime factors of 78803 are 78803. Prime factorization of 78803 in exponential form is:

78803 = 788031

Now multiplying the highest exponent prime factors to calculate the LCM of 78794 and 78803.

LCM(78794,78803) = 21 × 393971 × 788031
LCM(78794,78803) = 6209203582