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What is the Least Common Multiple of 69017 and 69031?

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 69017 and 69031 is 4764312527.

LCM(69017,69031) = 4764312527

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Least Common Multiple of 69017 and 69031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69017 and 69031, than apply into the LCM equation.

GCF(69017,69031) = 1
LCM(69017,69031) = ( 69017 × 69031) / 1
LCM(69017,69031) = 4764312527 / 1
LCM(69017,69031) = 4764312527

Least Common Multiple (LCM) of 69017 and 69031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69017 and 69031. First we will calculate the prime factors of 69017 and 69031.

Prime Factorization of 69017

Prime factors of 69017 are 13, 5309. Prime factorization of 69017 in exponential form is:

69017 = 131 × 53091

Prime Factorization of 69031

Prime factors of 69031 are 69031. Prime factorization of 69031 in exponential form is:

69031 = 690311

Now multiplying the highest exponent prime factors to calculate the LCM of 69017 and 69031.

LCM(69017,69031) = 131 × 53091 × 690311
LCM(69017,69031) = 4764312527