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What is the Least Common Multiple of 3196 and 3215?

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 3196 and 3215 is 10275140.

LCM(3196,3215) = 10275140

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Least Common Multiple of 3196 and 3215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3196 and 3215, than apply into the LCM equation.

GCF(3196,3215) = 1
LCM(3196,3215) = ( 3196 × 3215) / 1
LCM(3196,3215) = 10275140 / 1
LCM(3196,3215) = 10275140

Least Common Multiple (LCM) of 3196 and 3215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3196 and 3215. First we will calculate the prime factors of 3196 and 3215.

Prime Factorization of 3196

Prime factors of 3196 are 2, 17, 47. Prime factorization of 3196 in exponential form is:

3196 = 22 × 171 × 471

Prime Factorization of 3215

Prime factors of 3215 are 5, 643. Prime factorization of 3215 in exponential form is:

3215 = 51 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 3196 and 3215.

LCM(3196,3215) = 22 × 171 × 471 × 51 × 6431
LCM(3196,3215) = 10275140