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What is the Least Common Multiple of 66297 and 66306?

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 66297 and 66306 is 1465296294.

LCM(66297,66306) = 1465296294

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Least Common Multiple of 66297 and 66306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66297 and 66306, than apply into the LCM equation.

GCF(66297,66306) = 3
LCM(66297,66306) = ( 66297 × 66306) / 3
LCM(66297,66306) = 4395888882 / 3
LCM(66297,66306) = 1465296294

Least Common Multiple (LCM) of 66297 and 66306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66297 and 66306. First we will calculate the prime factors of 66297 and 66306.

Prime Factorization of 66297

Prime factors of 66297 are 3, 7, 11, 41. Prime factorization of 66297 in exponential form is:

66297 = 31 × 72 × 111 × 411

Prime Factorization of 66306

Prime factors of 66306 are 2, 3, 43, 257. Prime factorization of 66306 in exponential form is:

66306 = 21 × 31 × 431 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 66297 and 66306.

LCM(66297,66306) = 31 × 72 × 111 × 411 × 21 × 431 × 2571
LCM(66297,66306) = 1465296294