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What is the Least Common Multiple of 66897 and 66904?

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 66897 and 66904 is 4475676888.

LCM(66897,66904) = 4475676888

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Least Common Multiple of 66897 and 66904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66897 and 66904, than apply into the LCM equation.

GCF(66897,66904) = 1
LCM(66897,66904) = ( 66897 × 66904) / 1
LCM(66897,66904) = 4475676888 / 1
LCM(66897,66904) = 4475676888

Least Common Multiple (LCM) of 66897 and 66904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66897 and 66904. First we will calculate the prime factors of 66897 and 66904.

Prime Factorization of 66897

Prime factors of 66897 are 3, 7433. Prime factorization of 66897 in exponential form is:

66897 = 32 × 74331

Prime Factorization of 66904

Prime factors of 66904 are 2, 8363. Prime factorization of 66904 in exponential form is:

66904 = 23 × 83631

Now multiplying the highest exponent prime factors to calculate the LCM of 66897 and 66904.

LCM(66897,66904) = 32 × 74331 × 23 × 83631
LCM(66897,66904) = 4475676888