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What is the Least Common Multiple of 5388 and 5404?

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 5388 and 5404 is 7279188.

LCM(5388,5404) = 7279188

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Least Common Multiple of 5388 and 5404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5388 and 5404, than apply into the LCM equation.

GCF(5388,5404) = 4
LCM(5388,5404) = ( 5388 × 5404) / 4
LCM(5388,5404) = 29116752 / 4
LCM(5388,5404) = 7279188

Least Common Multiple (LCM) of 5388 and 5404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5388 and 5404. First we will calculate the prime factors of 5388 and 5404.

Prime Factorization of 5388

Prime factors of 5388 are 2, 3, 449. Prime factorization of 5388 in exponential form is:

5388 = 22 × 31 × 4491

Prime Factorization of 5404

Prime factors of 5404 are 2, 7, 193. Prime factorization of 5404 in exponential form is:

5404 = 22 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5388 and 5404.

LCM(5388,5404) = 22 × 31 × 4491 × 71 × 1931
LCM(5388,5404) = 7279188