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What is the Least Common Multiple of 5332 and 5346?

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 5346 is 14252436.

LCM(5332,5346) = 14252436

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Least Common Multiple of 5332 and 5346 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 5346, than apply into the LCM equation.

GCF(5332,5346) = 2
LCM(5332,5346) = ( 5332 × 5346) / 2
LCM(5332,5346) = 28504872 / 2
LCM(5332,5346) = 14252436

Least Common Multiple (LCM) of 5332 and 5346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5332 and 5346. First we will calculate the prime factors of 5332 and 5346.

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 5346

Prime factors of 5346 are 2, 3, 11. Prime factorization of 5346 in exponential form is:

5346 = 21 × 35 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 5332 and 5346.

LCM(5332,5346) = 22 × 311 × 431 × 35 × 111
LCM(5332,5346) = 14252436