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What is the Least Common Multiple of 5349 and 5354?

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 5349 and 5354 is 28638546.

LCM(5349,5354) = 28638546

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Least Common Multiple of 5349 and 5354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5349 and 5354, than apply into the LCM equation.

GCF(5349,5354) = 1
LCM(5349,5354) = ( 5349 × 5354) / 1
LCM(5349,5354) = 28638546 / 1
LCM(5349,5354) = 28638546

Least Common Multiple (LCM) of 5349 and 5354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5349 and 5354. First we will calculate the prime factors of 5349 and 5354.

Prime Factorization of 5349

Prime factors of 5349 are 3, 1783. Prime factorization of 5349 in exponential form is:

5349 = 31 × 17831

Prime Factorization of 5354

Prime factors of 5354 are 2, 2677. Prime factorization of 5354 in exponential form is:

5354 = 21 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 5349 and 5354.

LCM(5349,5354) = 31 × 17831 × 21 × 26771
LCM(5349,5354) = 28638546