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What is the Least Common Multiple of 3208 and 3224?

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 3208 and 3224 is 1292824.

LCM(3208,3224) = 1292824

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Least Common Multiple of 3208 and 3224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3208 and 3224, than apply into the LCM equation.

GCF(3208,3224) = 8
LCM(3208,3224) = ( 3208 × 3224) / 8
LCM(3208,3224) = 10342592 / 8
LCM(3208,3224) = 1292824

Least Common Multiple (LCM) of 3208 and 3224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3208 and 3224. First we will calculate the prime factors of 3208 and 3224.

Prime Factorization of 3208

Prime factors of 3208 are 2, 401. Prime factorization of 3208 in exponential form is:

3208 = 23 × 4011

Prime Factorization of 3224

Prime factors of 3224 are 2, 13, 31. Prime factorization of 3224 in exponential form is:

3224 = 23 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 3208 and 3224.

LCM(3208,3224) = 23 × 4011 × 131 × 311
LCM(3208,3224) = 1292824