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What is the Least Common Multiple of 66572 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 66572 and 66592 is 1108290656.

LCM(66572,66592) = 1108290656

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Least Common Multiple of 66572 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 66572 and 66592, than apply into the LCM equation.

GCF(66572,66592) = 4
LCM(66572,66592) = ( 66572 × 66592) / 4
LCM(66572,66592) = 4433162624 / 4
LCM(66572,66592) = 1108290656

Least Common Multiple (LCM) of 66572 and 66592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66572 and 66592. First we will calculate the prime factors of 66572 and 66592.

Prime Factorization of 66572

Prime factors of 66572 are 2, 11, 17, 89. Prime factorization of 66572 in exponential form is:

66572 = 22 × 111 × 171 × 891

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 66572 and 66592.

LCM(66572,66592) = 25 × 111 × 171 × 891 × 20811
LCM(66572,66592) = 1108290656