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What is the Least Common Multiple of 3207 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 3207 and 3215 is 10310505.

LCM(3207,3215) = 10310505

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Least Common Multiple of 3207 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 3207 and 3215, than apply into the LCM equation.

GCF(3207,3215) = 1
LCM(3207,3215) = ( 3207 × 3215) / 1
LCM(3207,3215) = 10310505 / 1
LCM(3207,3215) = 10310505

Least Common Multiple (LCM) of 3207 and 3215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3207 and 3215. First we will calculate the prime factors of 3207 and 3215.

Prime Factorization of 3207

Prime factors of 3207 are 3, 1069. Prime factorization of 3207 in exponential form is:

3207 = 31 × 10691

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 3207 and 3215.

LCM(3207,3215) = 31 × 10691 × 51 × 6431
LCM(3207,3215) = 10310505