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What is the Least Common Multiple of 3219 and 3238?

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 3219 and 3238 is 10423122.

LCM(3219,3238) = 10423122

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Least Common Multiple of 3219 and 3238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3219 and 3238, than apply into the LCM equation.

GCF(3219,3238) = 1
LCM(3219,3238) = ( 3219 × 3238) / 1
LCM(3219,3238) = 10423122 / 1
LCM(3219,3238) = 10423122

Least Common Multiple (LCM) of 3219 and 3238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3219 and 3238. First we will calculate the prime factors of 3219 and 3238.

Prime Factorization of 3219

Prime factors of 3219 are 3, 29, 37. Prime factorization of 3219 in exponential form is:

3219 = 31 × 291 × 371

Prime Factorization of 3238

Prime factors of 3238 are 2, 1619. Prime factorization of 3238 in exponential form is:

3238 = 21 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 3219 and 3238.

LCM(3219,3238) = 31 × 291 × 371 × 21 × 16191
LCM(3219,3238) = 10423122