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What is the Least Common Multiple of 5754 and 5763?

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 5754 and 5763 is 11053434.

LCM(5754,5763) = 11053434

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Least Common Multiple of 5754 and 5763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5754 and 5763, than apply into the LCM equation.

GCF(5754,5763) = 3
LCM(5754,5763) = ( 5754 × 5763) / 3
LCM(5754,5763) = 33160302 / 3
LCM(5754,5763) = 11053434

Least Common Multiple (LCM) of 5754 and 5763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5754 and 5763. First we will calculate the prime factors of 5754 and 5763.

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

Prime Factorization of 5763

Prime factors of 5763 are 3, 17, 113. Prime factorization of 5763 in exponential form is:

5763 = 31 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5754 and 5763.

LCM(5754,5763) = 21 × 31 × 71 × 1371 × 171 × 1131
LCM(5754,5763) = 11053434