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What is the Least Common Multiple of 78853 and 78865?

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 78853 and 78865 is 6218741845.

LCM(78853,78865) = 6218741845

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Least Common Multiple of 78853 and 78865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78853 and 78865, than apply into the LCM equation.

GCF(78853,78865) = 1
LCM(78853,78865) = ( 78853 × 78865) / 1
LCM(78853,78865) = 6218741845 / 1
LCM(78853,78865) = 6218741845

Least Common Multiple (LCM) of 78853 and 78865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78853 and 78865. First we will calculate the prime factors of 78853 and 78865.

Prime Factorization of 78853

Prime factors of 78853 are 78853. Prime factorization of 78853 in exponential form is:

78853 = 788531

Prime Factorization of 78865

Prime factors of 78865 are 5, 15773. Prime factorization of 78865 in exponential form is:

78865 = 51 × 157731

Now multiplying the highest exponent prime factors to calculate the LCM of 78853 and 78865.

LCM(78853,78865) = 788531 × 51 × 157731
LCM(78853,78865) = 6218741845