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What is the Least Common Multiple of 5364 and 5368?

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 5364 and 5368 is 7198488.

LCM(5364,5368) = 7198488

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Least Common Multiple of 5364 and 5368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5364 and 5368, than apply into the LCM equation.

GCF(5364,5368) = 4
LCM(5364,5368) = ( 5364 × 5368) / 4
LCM(5364,5368) = 28793952 / 4
LCM(5364,5368) = 7198488

Least Common Multiple (LCM) of 5364 and 5368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5364 and 5368. First we will calculate the prime factors of 5364 and 5368.

Prime Factorization of 5364

Prime factors of 5364 are 2, 3, 149. Prime factorization of 5364 in exponential form is:

5364 = 22 × 32 × 1491

Prime Factorization of 5368

Prime factors of 5368 are 2, 11, 61. Prime factorization of 5368 in exponential form is:

5368 = 23 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 5364 and 5368.

LCM(5364,5368) = 23 × 32 × 1491 × 111 × 611
LCM(5364,5368) = 7198488