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What is the Least Common Multiple of 66592 and 66612?

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 66592 and 66612 is 1108956576.

LCM(66592,66612) = 1108956576

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Least Common Multiple of 66592 and 66612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66592 and 66612, than apply into the LCM equation.

GCF(66592,66612) = 4
LCM(66592,66612) = ( 66592 × 66612) / 4
LCM(66592,66612) = 4435826304 / 4
LCM(66592,66612) = 1108956576

Least Common Multiple (LCM) of 66592 and 66612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66592 and 66612. First we will calculate the prime factors of 66592 and 66612.

Prime Factorization of 66592

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

66592 = 25 × 20811

Prime Factorization of 66612

Prime factors of 66612 are 2, 3, 7, 13, 61. Prime factorization of 66612 in exponential form is:

66612 = 22 × 31 × 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 66592 and 66612.

LCM(66592,66612) = 25 × 20811 × 31 × 71 × 131 × 611
LCM(66592,66612) = 1108956576