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What is the Least Common Multiple of 69196 and 69209?

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 69196 and 69209 is 4788985964.

LCM(69196,69209) = 4788985964

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Least Common Multiple of 69196 and 69209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69196 and 69209, than apply into the LCM equation.

GCF(69196,69209) = 1
LCM(69196,69209) = ( 69196 × 69209) / 1
LCM(69196,69209) = 4788985964 / 1
LCM(69196,69209) = 4788985964

Least Common Multiple (LCM) of 69196 and 69209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69196 and 69209. First we will calculate the prime factors of 69196 and 69209.

Prime Factorization of 69196

Prime factors of 69196 are 2, 17299. Prime factorization of 69196 in exponential form is:

69196 = 22 × 172991

Prime Factorization of 69209

Prime factors of 69209 are 7, 9887. Prime factorization of 69209 in exponential form is:

69209 = 71 × 98871

Now multiplying the highest exponent prime factors to calculate the LCM of 69196 and 69209.

LCM(69196,69209) = 22 × 172991 × 71 × 98871
LCM(69196,69209) = 4788985964