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What is the Least Common Multiple of 66589 and 66596?

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 66589 and 66596 is 4434561044.

LCM(66589,66596) = 4434561044

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Least Common Multiple of 66589 and 66596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66589 and 66596, than apply into the LCM equation.

GCF(66589,66596) = 1
LCM(66589,66596) = ( 66589 × 66596) / 1
LCM(66589,66596) = 4434561044 / 1
LCM(66589,66596) = 4434561044

Least Common Multiple (LCM) of 66589 and 66596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66589 and 66596. First we will calculate the prime factors of 66589 and 66596.

Prime Factorization of 66589

Prime factors of 66589 are 17, 3917. Prime factorization of 66589 in exponential form is:

66589 = 171 × 39171

Prime Factorization of 66596

Prime factors of 66596 are 2, 16649. Prime factorization of 66596 in exponential form is:

66596 = 22 × 166491

Now multiplying the highest exponent prime factors to calculate the LCM of 66589 and 66596.

LCM(66589,66596) = 171 × 39171 × 22 × 166491
LCM(66589,66596) = 4434561044