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What is the Least Common Multiple of 5332 and 5344?

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 5332 and 5344 is 7123552.

LCM(5332,5344) = 7123552

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Least Common Multiple of 5332 and 5344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5332 and 5344, than apply into the LCM equation.

GCF(5332,5344) = 4
LCM(5332,5344) = ( 5332 × 5344) / 4
LCM(5332,5344) = 28494208 / 4
LCM(5332,5344) = 7123552

Least Common Multiple (LCM) of 5332 and 5344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5332 and 5344. First we will calculate the prime factors of 5332 and 5344.

Prime Factorization of 5332

Prime factors of 5332 are 2, 31, 43. Prime factorization of 5332 in exponential form is:

5332 = 22 × 311 × 431

Prime Factorization of 5344

Prime factors of 5344 are 2, 167. Prime factorization of 5344 in exponential form is:

5344 = 25 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5332 and 5344.

LCM(5332,5344) = 25 × 311 × 431 × 1671
LCM(5332,5344) = 7123552