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What is the Least Common Multiple of 66534 and 66549?

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 66534 and 66549 is 1475923722.

LCM(66534,66549) = 1475923722

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Least Common Multiple of 66534 and 66549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66534 and 66549, than apply into the LCM equation.

GCF(66534,66549) = 3
LCM(66534,66549) = ( 66534 × 66549) / 3
LCM(66534,66549) = 4427771166 / 3
LCM(66534,66549) = 1475923722

Least Common Multiple (LCM) of 66534 and 66549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66534 and 66549. First we will calculate the prime factors of 66534 and 66549.

Prime Factorization of 66534

Prime factors of 66534 are 2, 3, 13, 853. Prime factorization of 66534 in exponential form is:

66534 = 21 × 31 × 131 × 8531

Prime Factorization of 66549

Prime factors of 66549 are 3, 7, 3169. Prime factorization of 66549 in exponential form is:

66549 = 31 × 71 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 66534 and 66549.

LCM(66534,66549) = 21 × 31 × 131 × 8531 × 71 × 31691
LCM(66534,66549) = 1475923722