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What is the Least Common Multiple of 3213 and 3223?

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 3223 is 10355499.

LCM(3213,3223) = 10355499

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Least Common Multiple of 3213 and 3223 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 3223, than apply into the LCM equation.

GCF(3213,3223) = 1
LCM(3213,3223) = ( 3213 × 3223) / 1
LCM(3213,3223) = 10355499 / 1
LCM(3213,3223) = 10355499

Least Common Multiple (LCM) of 3213 and 3223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3213 and 3223. First we will calculate the prime factors of 3213 and 3223.

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 3223

Prime factors of 3223 are 11, 293. Prime factorization of 3223 in exponential form is:

3223 = 111 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 3213 and 3223.

LCM(3213,3223) = 33 × 71 × 171 × 111 × 2931
LCM(3213,3223) = 10355499