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What is the Least Common Multiple of 66549 and 66565?

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 66549 and 66565 is 4429834185.

LCM(66549,66565) = 4429834185

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Least Common Multiple of 66549 and 66565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66549 and 66565, than apply into the LCM equation.

GCF(66549,66565) = 1
LCM(66549,66565) = ( 66549 × 66565) / 1
LCM(66549,66565) = 4429834185 / 1
LCM(66549,66565) = 4429834185

Least Common Multiple (LCM) of 66549 and 66565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66549 and 66565. First we will calculate the prime factors of 66549 and 66565.

Prime Factorization of 66549

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

66549 = 31 × 71 × 31691

Prime Factorization of 66565

Prime factors of 66565 are 5, 13313. Prime factorization of 66565 in exponential form is:

66565 = 51 × 133131

Now multiplying the highest exponent prime factors to calculate the LCM of 66549 and 66565.

LCM(66549,66565) = 31 × 71 × 31691 × 51 × 133131
LCM(66549,66565) = 4429834185