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What is the Least Common Multiple of 4221 and 4238?

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 4221 and 4238 is 17888598.

LCM(4221,4238) = 17888598

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Least Common Multiple of 4221 and 4238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4221 and 4238, than apply into the LCM equation.

GCF(4221,4238) = 1
LCM(4221,4238) = ( 4221 × 4238) / 1
LCM(4221,4238) = 17888598 / 1
LCM(4221,4238) = 17888598

Least Common Multiple (LCM) of 4221 and 4238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4221 and 4238. First we will calculate the prime factors of 4221 and 4238.

Prime Factorization of 4221

Prime factors of 4221 are 3, 7, 67. Prime factorization of 4221 in exponential form is:

4221 = 32 × 71 × 671

Prime Factorization of 4238

Prime factors of 4238 are 2, 13, 163. Prime factorization of 4238 in exponential form is:

4238 = 21 × 131 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4221 and 4238.

LCM(4221,4238) = 32 × 71 × 671 × 21 × 131 × 1631
LCM(4221,4238) = 17888598