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What is the Least Common Multiple of 78791 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 78791 and 78803 is 6208967173.

LCM(78791,78803) = 6208967173

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Least Common Multiple of 78791 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 78791 and 78803, than apply into the LCM equation.

GCF(78791,78803) = 1
LCM(78791,78803) = ( 78791 × 78803) / 1
LCM(78791,78803) = 6208967173 / 1
LCM(78791,78803) = 6208967173

Least Common Multiple (LCM) of 78791 and 78803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78791 and 78803. First we will calculate the prime factors of 78791 and 78803.

Prime Factorization of 78791

Prime factors of 78791 are 78791. Prime factorization of 78791 in exponential form is:

78791 = 787911

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 78791 and 78803.

LCM(78791,78803) = 787911 × 788031
LCM(78791,78803) = 6208967173