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What is the Least Common Multiple of 5403 and 5408?

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 5403 and 5408 is 29219424.

LCM(5403,5408) = 29219424

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Least Common Multiple of 5403 and 5408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5403 and 5408, than apply into the LCM equation.

GCF(5403,5408) = 1
LCM(5403,5408) = ( 5403 × 5408) / 1
LCM(5403,5408) = 29219424 / 1
LCM(5403,5408) = 29219424

Least Common Multiple (LCM) of 5403 and 5408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5403 and 5408. First we will calculate the prime factors of 5403 and 5408.

Prime Factorization of 5403

Prime factors of 5403 are 3, 1801. Prime factorization of 5403 in exponential form is:

5403 = 31 × 18011

Prime Factorization of 5408

Prime factors of 5408 are 2, 13. Prime factorization of 5408 in exponential form is:

5408 = 25 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 5403 and 5408.

LCM(5403,5408) = 31 × 18011 × 25 × 132
LCM(5403,5408) = 29219424