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What is the Least Common Multiple of 66892 and 66905?

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 66892 and 66905 is 4475409260.

LCM(66892,66905) = 4475409260

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Least Common Multiple of 66892 and 66905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66892 and 66905, than apply into the LCM equation.

GCF(66892,66905) = 1
LCM(66892,66905) = ( 66892 × 66905) / 1
LCM(66892,66905) = 4475409260 / 1
LCM(66892,66905) = 4475409260

Least Common Multiple (LCM) of 66892 and 66905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66892 and 66905. First we will calculate the prime factors of 66892 and 66905.

Prime Factorization of 66892

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

66892 = 22 × 71 × 23891

Prime Factorization of 66905

Prime factors of 66905 are 5, 13381. Prime factorization of 66905 in exponential form is:

66905 = 51 × 133811

Now multiplying the highest exponent prime factors to calculate the LCM of 66892 and 66905.

LCM(66892,66905) = 22 × 71 × 23891 × 51 × 133811
LCM(66892,66905) = 4475409260