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What is the Least Common Multiple of 5744 and 5754?

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 5744 and 5754 is 16525488.

LCM(5744,5754) = 16525488

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Least Common Multiple of 5744 and 5754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5744 and 5754, than apply into the LCM equation.

GCF(5744,5754) = 2
LCM(5744,5754) = ( 5744 × 5754) / 2
LCM(5744,5754) = 33050976 / 2
LCM(5744,5754) = 16525488

Least Common Multiple (LCM) of 5744 and 5754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5744 and 5754. First we will calculate the prime factors of 5744 and 5754.

Prime Factorization of 5744

Prime factors of 5744 are 2, 359. Prime factorization of 5744 in exponential form is:

5744 = 24 × 3591

Prime Factorization of 5754

Prime factors of 5754 are 2, 3, 7, 137. Prime factorization of 5754 in exponential form is:

5754 = 21 × 31 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5744 and 5754.

LCM(5744,5754) = 24 × 3591 × 31 × 71 × 1371
LCM(5744,5754) = 16525488