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What is the Least Common Multiple of 69063 and 69069?

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 69063 and 69069 is 1590037449.

LCM(69063,69069) = 1590037449

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Least Common Multiple of 69063 and 69069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69063 and 69069, than apply into the LCM equation.

GCF(69063,69069) = 3
LCM(69063,69069) = ( 69063 × 69069) / 3
LCM(69063,69069) = 4770112347 / 3
LCM(69063,69069) = 1590037449

Least Common Multiple (LCM) of 69063 and 69069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69063 and 69069. First we will calculate the prime factors of 69063 and 69069.

Prime Factorization of 69063

Prime factors of 69063 are 3, 23021. Prime factorization of 69063 in exponential form is:

69063 = 31 × 230211

Prime Factorization of 69069

Prime factors of 69069 are 3, 7, 11, 13, 23. Prime factorization of 69069 in exponential form is:

69069 = 31 × 71 × 111 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 69063 and 69069.

LCM(69063,69069) = 31 × 230211 × 71 × 111 × 131 × 231
LCM(69063,69069) = 1590037449