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What is the Least Common Multiple of 68871 and 68883?

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 68871 and 68883 is 1581347031.

LCM(68871,68883) = 1581347031

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Least Common Multiple of 68871 and 68883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68871 and 68883, than apply into the LCM equation.

GCF(68871,68883) = 3
LCM(68871,68883) = ( 68871 × 68883) / 3
LCM(68871,68883) = 4744041093 / 3
LCM(68871,68883) = 1581347031

Least Common Multiple (LCM) of 68871 and 68883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68871 and 68883. First we will calculate the prime factors of 68871 and 68883.

Prime Factorization of 68871

Prime factors of 68871 are 3, 11, 2087. Prime factorization of 68871 in exponential form is:

68871 = 31 × 111 × 20871

Prime Factorization of 68883

Prime factors of 68883 are 3, 22961. Prime factorization of 68883 in exponential form is:

68883 = 31 × 229611

Now multiplying the highest exponent prime factors to calculate the LCM of 68871 and 68883.

LCM(68871,68883) = 31 × 111 × 20871 × 229611
LCM(68871,68883) = 1581347031