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What is the Least Common Multiple of 4378 and 4398?

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 4378 and 4398 is 9627222.

LCM(4378,4398) = 9627222

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Least Common Multiple of 4378 and 4398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4378 and 4398, than apply into the LCM equation.

GCF(4378,4398) = 2
LCM(4378,4398) = ( 4378 × 4398) / 2
LCM(4378,4398) = 19254444 / 2
LCM(4378,4398) = 9627222

Least Common Multiple (LCM) of 4378 and 4398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4378 and 4398. First we will calculate the prime factors of 4378 and 4398.

Prime Factorization of 4378

Prime factors of 4378 are 2, 11, 199. Prime factorization of 4378 in exponential form is:

4378 = 21 × 111 × 1991

Prime Factorization of 4398

Prime factors of 4398 are 2, 3, 733. Prime factorization of 4398 in exponential form is:

4398 = 21 × 31 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 4378 and 4398.

LCM(4378,4398) = 21 × 111 × 1991 × 31 × 7331
LCM(4378,4398) = 9627222