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What is the Least Common Multiple of 65752 and 65759?

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 65752 and 65759 is 4323785768.

LCM(65752,65759) = 4323785768

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Least Common Multiple of 65752 and 65759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65752 and 65759, than apply into the LCM equation.

GCF(65752,65759) = 1
LCM(65752,65759) = ( 65752 × 65759) / 1
LCM(65752,65759) = 4323785768 / 1
LCM(65752,65759) = 4323785768

Least Common Multiple (LCM) of 65752 and 65759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65752 and 65759. First we will calculate the prime factors of 65752 and 65759.

Prime Factorization of 65752

Prime factors of 65752 are 2, 8219. Prime factorization of 65752 in exponential form is:

65752 = 23 × 82191

Prime Factorization of 65759

Prime factors of 65759 are 19, 3461. Prime factorization of 65759 in exponential form is:

65759 = 191 × 34611

Now multiplying the highest exponent prime factors to calculate the LCM of 65752 and 65759.

LCM(65752,65759) = 23 × 82191 × 191 × 34611
LCM(65752,65759) = 4323785768