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What is the Least Common Multiple of 78827 and 78847?

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 78827 and 78847 is 6215272469.

LCM(78827,78847) = 6215272469

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Least Common Multiple of 78827 and 78847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78827 and 78847, than apply into the LCM equation.

GCF(78827,78847) = 1
LCM(78827,78847) = ( 78827 × 78847) / 1
LCM(78827,78847) = 6215272469 / 1
LCM(78827,78847) = 6215272469

Least Common Multiple (LCM) of 78827 and 78847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78827 and 78847. First we will calculate the prime factors of 78827 and 78847.

Prime Factorization of 78827

Prime factors of 78827 are 7, 11261. Prime factorization of 78827 in exponential form is:

78827 = 71 × 112611

Prime Factorization of 78847

Prime factors of 78847 are 37, 2131. Prime factorization of 78847 in exponential form is:

78847 = 371 × 21311

Now multiplying the highest exponent prime factors to calculate the LCM of 78827 and 78847.

LCM(78827,78847) = 71 × 112611 × 371 × 21311
LCM(78827,78847) = 6215272469