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What is the Least Common Multiple of 5348 and 5352?

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 5348 and 5352 is 7155624.

LCM(5348,5352) = 7155624

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Least Common Multiple of 5348 and 5352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5348 and 5352, than apply into the LCM equation.

GCF(5348,5352) = 4
LCM(5348,5352) = ( 5348 × 5352) / 4
LCM(5348,5352) = 28622496 / 4
LCM(5348,5352) = 7155624

Least Common Multiple (LCM) of 5348 and 5352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5348 and 5352. First we will calculate the prime factors of 5348 and 5352.

Prime Factorization of 5348

Prime factors of 5348 are 2, 7, 191. Prime factorization of 5348 in exponential form is:

5348 = 22 × 71 × 1911

Prime Factorization of 5352

Prime factors of 5352 are 2, 3, 223. Prime factorization of 5352 in exponential form is:

5352 = 23 × 31 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5348 and 5352.

LCM(5348,5352) = 23 × 71 × 1911 × 31 × 2231
LCM(5348,5352) = 7155624