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What is the Least Common Multiple of 66193 and 66208?

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 66193 and 66208 is 4382506144.

LCM(66193,66208) = 4382506144

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Least Common Multiple of 66193 and 66208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66193 and 66208, than apply into the LCM equation.

GCF(66193,66208) = 1
LCM(66193,66208) = ( 66193 × 66208) / 1
LCM(66193,66208) = 4382506144 / 1
LCM(66193,66208) = 4382506144

Least Common Multiple (LCM) of 66193 and 66208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66193 and 66208. First we will calculate the prime factors of 66193 and 66208.

Prime Factorization of 66193

Prime factors of 66193 are 37, 1789. Prime factorization of 66193 in exponential form is:

66193 = 371 × 17891

Prime Factorization of 66208

Prime factors of 66208 are 2, 2069. Prime factorization of 66208 in exponential form is:

66208 = 25 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 66193 and 66208.

LCM(66193,66208) = 371 × 17891 × 25 × 20691
LCM(66193,66208) = 4382506144