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What is the Least Common Multiple of 33196 and 33208?

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 33196 and 33208 is 275593192.

LCM(33196,33208) = 275593192

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Least Common Multiple of 33196 and 33208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33196 and 33208, than apply into the LCM equation.

GCF(33196,33208) = 4
LCM(33196,33208) = ( 33196 × 33208) / 4
LCM(33196,33208) = 1102372768 / 4
LCM(33196,33208) = 275593192

Least Common Multiple (LCM) of 33196 and 33208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33196 and 33208. First we will calculate the prime factors of 33196 and 33208.

Prime Factorization of 33196

Prime factors of 33196 are 2, 43, 193. Prime factorization of 33196 in exponential form is:

33196 = 22 × 431 × 1931

Prime Factorization of 33208

Prime factors of 33208 are 2, 7, 593. Prime factorization of 33208 in exponential form is:

33208 = 23 × 71 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 33196 and 33208.

LCM(33196,33208) = 23 × 431 × 1931 × 71 × 5931
LCM(33196,33208) = 275593192