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What is the Least Common Multiple of 3213 and 3230?

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 3213 and 3230 is 610470.

LCM(3213,3230) = 610470

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Least Common Multiple of 3213 and 3230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3213 and 3230, than apply into the LCM equation.

GCF(3213,3230) = 17
LCM(3213,3230) = ( 3213 × 3230) / 17
LCM(3213,3230) = 10377990 / 17
LCM(3213,3230) = 610470

Least Common Multiple (LCM) of 3213 and 3230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3213 and 3230. First we will calculate the prime factors of 3213 and 3230.

Prime Factorization of 3213

Prime factors of 3213 are 3, 7, 17. Prime factorization of 3213 in exponential form is:

3213 = 33 × 71 × 171

Prime Factorization of 3230

Prime factors of 3230 are 2, 5, 17, 19. Prime factorization of 3230 in exponential form is:

3230 = 21 × 51 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3213 and 3230.

LCM(3213,3230) = 33 × 71 × 171 × 21 × 51 × 191
LCM(3213,3230) = 610470