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What is the Least Common Multiple of 66574 and 66592?

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 66574 and 66592 is 2216647904.

LCM(66574,66592) = 2216647904

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Least Common Multiple of 66574 and 66592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66574 and 66592, than apply into the LCM equation.

GCF(66574,66592) = 2
LCM(66574,66592) = ( 66574 × 66592) / 2
LCM(66574,66592) = 4433295808 / 2
LCM(66574,66592) = 2216647904

Least Common Multiple (LCM) of 66574 and 66592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66574 and 66592. First we will calculate the prime factors of 66574 and 66592.

Prime Factorization of 66574

Prime factors of 66574 are 2, 33287. Prime factorization of 66574 in exponential form is:

66574 = 21 × 332871

Prime Factorization of 66592

Prime factors of 66592 are 2, 2081. Prime factorization of 66592 in exponential form is:

66592 = 25 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 66574 and 66592.

LCM(66574,66592) = 25 × 332871 × 20811
LCM(66574,66592) = 2216647904