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What is the Least Common Multiple of 66051 and 66069?

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 66051 and 66069 is 484880391.

LCM(66051,66069) = 484880391

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Least Common Multiple of 66051 and 66069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66051 and 66069, than apply into the LCM equation.

GCF(66051,66069) = 9
LCM(66051,66069) = ( 66051 × 66069) / 9
LCM(66051,66069) = 4363923519 / 9
LCM(66051,66069) = 484880391

Least Common Multiple (LCM) of 66051 and 66069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66051 and 66069. First we will calculate the prime factors of 66051 and 66069.

Prime Factorization of 66051

Prime factors of 66051 are 3, 41, 179. Prime factorization of 66051 in exponential form is:

66051 = 32 × 411 × 1791

Prime Factorization of 66069

Prime factors of 66069 are 3, 2447. Prime factorization of 66069 in exponential form is:

66069 = 33 × 24471

Now multiplying the highest exponent prime factors to calculate the LCM of 66051 and 66069.

LCM(66051,66069) = 33 × 411 × 1791 × 24471
LCM(66051,66069) = 484880391