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What is the Least Common Multiple of 69067 and 69081?

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 69067 and 69081 is 4771217427.

LCM(69067,69081) = 4771217427

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Least Common Multiple of 69067 and 69081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69067 and 69081, than apply into the LCM equation.

GCF(69067,69081) = 1
LCM(69067,69081) = ( 69067 × 69081) / 1
LCM(69067,69081) = 4771217427 / 1
LCM(69067,69081) = 4771217427

Least Common Multiple (LCM) of 69067 and 69081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69067 and 69081. First we will calculate the prime factors of 69067 and 69081.

Prime Factorization of 69067

Prime factors of 69067 are 69067. Prime factorization of 69067 in exponential form is:

69067 = 690671

Prime Factorization of 69081

Prime factors of 69081 are 3, 23027. Prime factorization of 69081 in exponential form is:

69081 = 31 × 230271

Now multiplying the highest exponent prime factors to calculate the LCM of 69067 and 69081.

LCM(69067,69081) = 690671 × 31 × 230271
LCM(69067,69081) = 4771217427