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What is the Least Common Multiple of 3211 and 3225?

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 3211 and 3225 is 10355475.

LCM(3211,3225) = 10355475

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Least Common Multiple of 3211 and 3225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3211 and 3225, than apply into the LCM equation.

GCF(3211,3225) = 1
LCM(3211,3225) = ( 3211 × 3225) / 1
LCM(3211,3225) = 10355475 / 1
LCM(3211,3225) = 10355475

Least Common Multiple (LCM) of 3211 and 3225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3211 and 3225. First we will calculate the prime factors of 3211 and 3225.

Prime Factorization of 3211

Prime factors of 3211 are 13, 19. Prime factorization of 3211 in exponential form is:

3211 = 132 × 191

Prime Factorization of 3225

Prime factors of 3225 are 3, 5, 43. Prime factorization of 3225 in exponential form is:

3225 = 31 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 3211 and 3225.

LCM(3211,3225) = 132 × 191 × 31 × 52 × 431
LCM(3211,3225) = 10355475