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What is the Least Common Multiple of 66871 and 66878?

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 66871 and 66878 is 638885534.

LCM(66871,66878) = 638885534

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Least Common Multiple of 66871 and 66878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66871 and 66878, than apply into the LCM equation.

GCF(66871,66878) = 7
LCM(66871,66878) = ( 66871 × 66878) / 7
LCM(66871,66878) = 4472198738 / 7
LCM(66871,66878) = 638885534

Least Common Multiple (LCM) of 66871 and 66878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66871 and 66878. First we will calculate the prime factors of 66871 and 66878.

Prime Factorization of 66871

Prime factors of 66871 are 7, 41, 233. Prime factorization of 66871 in exponential form is:

66871 = 71 × 411 × 2331

Prime Factorization of 66878

Prime factors of 66878 are 2, 7, 17, 281. Prime factorization of 66878 in exponential form is:

66878 = 21 × 71 × 171 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 66871 and 66878.

LCM(66871,66878) = 71 × 411 × 2331 × 21 × 171 × 2811
LCM(66871,66878) = 638885534