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What is the Least Common Multiple of 4382 and 4400?

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 4382 and 4400 is 9640400.

LCM(4382,4400) = 9640400

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Least Common Multiple of 4382 and 4400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4382 and 4400, than apply into the LCM equation.

GCF(4382,4400) = 2
LCM(4382,4400) = ( 4382 × 4400) / 2
LCM(4382,4400) = 19280800 / 2
LCM(4382,4400) = 9640400

Least Common Multiple (LCM) of 4382 and 4400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4382 and 4400. First we will calculate the prime factors of 4382 and 4400.

Prime Factorization of 4382

Prime factors of 4382 are 2, 7, 313. Prime factorization of 4382 in exponential form is:

4382 = 21 × 71 × 3131

Prime Factorization of 4400

Prime factors of 4400 are 2, 5, 11. Prime factorization of 4400 in exponential form is:

4400 = 24 × 52 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 4382 and 4400.

LCM(4382,4400) = 24 × 71 × 3131 × 52 × 111
LCM(4382,4400) = 9640400