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What is the Least Common Multiple of 66881 and 66892?

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 66881 and 66892 is 4473803852.

LCM(66881,66892) = 4473803852

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Least Common Multiple of 66881 and 66892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66881 and 66892, than apply into the LCM equation.

GCF(66881,66892) = 1
LCM(66881,66892) = ( 66881 × 66892) / 1
LCM(66881,66892) = 4473803852 / 1
LCM(66881,66892) = 4473803852

Least Common Multiple (LCM) of 66881 and 66892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66881 and 66892. First we will calculate the prime factors of 66881 and 66892.

Prime Factorization of 66881

Prime factors of 66881 are 47, 1423. Prime factorization of 66881 in exponential form is:

66881 = 471 × 14231

Prime Factorization of 66892

Prime factors of 66892 are 2, 7, 2389. Prime factorization of 66892 in exponential form is:

66892 = 22 × 71 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 66881 and 66892.

LCM(66881,66892) = 471 × 14231 × 22 × 71 × 23891
LCM(66881,66892) = 4473803852