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What is the Least Common Multiple of 78835 and 78853?

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 78835 and 78853 is 6216376255.

LCM(78835,78853) = 6216376255

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Least Common Multiple of 78835 and 78853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78835 and 78853, than apply into the LCM equation.

GCF(78835,78853) = 1
LCM(78835,78853) = ( 78835 × 78853) / 1
LCM(78835,78853) = 6216376255 / 1
LCM(78835,78853) = 6216376255

Least Common Multiple (LCM) of 78835 and 78853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78835 and 78853. First we will calculate the prime factors of 78835 and 78853.

Prime Factorization of 78835

Prime factors of 78835 are 5, 15767. Prime factorization of 78835 in exponential form is:

78835 = 51 × 157671

Prime Factorization of 78853

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

78853 = 788531

Now multiplying the highest exponent prime factors to calculate the LCM of 78835 and 78853.

LCM(78835,78853) = 51 × 157671 × 788531
LCM(78835,78853) = 6216376255