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What is the Least Common Multiple of 5752 and 5762?

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 5752 and 5762 is 16571512.

LCM(5752,5762) = 16571512

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Least Common Multiple of 5752 and 5762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5752 and 5762, than apply into the LCM equation.

GCF(5752,5762) = 2
LCM(5752,5762) = ( 5752 × 5762) / 2
LCM(5752,5762) = 33143024 / 2
LCM(5752,5762) = 16571512

Least Common Multiple (LCM) of 5752 and 5762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5752 and 5762. First we will calculate the prime factors of 5752 and 5762.

Prime Factorization of 5752

Prime factors of 5752 are 2, 719. Prime factorization of 5752 in exponential form is:

5752 = 23 × 7191

Prime Factorization of 5762

Prime factors of 5762 are 2, 43, 67. Prime factorization of 5762 in exponential form is:

5762 = 21 × 431 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 5752 and 5762.

LCM(5752,5762) = 23 × 7191 × 431 × 671
LCM(5752,5762) = 16571512