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What is the Least Common Multiple of 68193 and 68209?

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 68193 and 68209 is 4651376337.

LCM(68193,68209) = 4651376337

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Least Common Multiple of 68193 and 68209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68193 and 68209, than apply into the LCM equation.

GCF(68193,68209) = 1
LCM(68193,68209) = ( 68193 × 68209) / 1
LCM(68193,68209) = 4651376337 / 1
LCM(68193,68209) = 4651376337

Least Common Multiple (LCM) of 68193 and 68209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68193 and 68209. First we will calculate the prime factors of 68193 and 68209.

Prime Factorization of 68193

Prime factors of 68193 are 3, 7577. Prime factorization of 68193 in exponential form is:

68193 = 32 × 75771

Prime Factorization of 68209

Prime factors of 68209 are 68209. Prime factorization of 68209 in exponential form is:

68209 = 682091

Now multiplying the highest exponent prime factors to calculate the LCM of 68193 and 68209.

LCM(68193,68209) = 32 × 75771 × 682091
LCM(68193,68209) = 4651376337