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What is the Least Common Multiple of 66505 and 66524?

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 66505 and 66524 is 4424178620.

LCM(66505,66524) = 4424178620

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Least Common Multiple of 66505 and 66524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66505 and 66524, than apply into the LCM equation.

GCF(66505,66524) = 1
LCM(66505,66524) = ( 66505 × 66524) / 1
LCM(66505,66524) = 4424178620 / 1
LCM(66505,66524) = 4424178620

Least Common Multiple (LCM) of 66505 and 66524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66505 and 66524. First we will calculate the prime factors of 66505 and 66524.

Prime Factorization of 66505

Prime factors of 66505 are 5, 47, 283. Prime factorization of 66505 in exponential form is:

66505 = 51 × 471 × 2831

Prime Factorization of 66524

Prime factors of 66524 are 2, 16631. Prime factorization of 66524 in exponential form is:

66524 = 22 × 166311

Now multiplying the highest exponent prime factors to calculate the LCM of 66505 and 66524.

LCM(66505,66524) = 51 × 471 × 2831 × 22 × 166311
LCM(66505,66524) = 4424178620