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What is the Least Common Multiple of 69017 and 69037?

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 69037 is 4764726629.

LCM(69017,69037) = 4764726629

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Least Common Multiple of 69017 and 69037 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 69037, than apply into the LCM equation.

GCF(69017,69037) = 1
LCM(69017,69037) = ( 69017 × 69037) / 1
LCM(69017,69037) = 4764726629 / 1
LCM(69017,69037) = 4764726629

Least Common Multiple (LCM) of 69017 and 69037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69017 and 69037. First we will calculate the prime factors of 69017 and 69037.

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 69037

Prime factors of 69037 are 17, 31, 131. Prime factorization of 69037 in exponential form is:

69037 = 171 × 311 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 69017 and 69037.

LCM(69017,69037) = 131 × 53091 × 171 × 311 × 1311
LCM(69017,69037) = 4764726629