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What is the Least Common Multiple of 65513 and 65524?

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 65513 and 65524 is 4292673812.

LCM(65513,65524) = 4292673812

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Least Common Multiple of 65513 and 65524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65513 and 65524, than apply into the LCM equation.

GCF(65513,65524) = 1
LCM(65513,65524) = ( 65513 × 65524) / 1
LCM(65513,65524) = 4292673812 / 1
LCM(65513,65524) = 4292673812

Least Common Multiple (LCM) of 65513 and 65524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65513 and 65524. First we will calculate the prime factors of 65513 and 65524.

Prime Factorization of 65513

Prime factors of 65513 are 7, 191. Prime factorization of 65513 in exponential form is:

65513 = 73 × 1911

Prime Factorization of 65524

Prime factors of 65524 are 2, 16381. Prime factorization of 65524 in exponential form is:

65524 = 22 × 163811

Now multiplying the highest exponent prime factors to calculate the LCM of 65513 and 65524.

LCM(65513,65524) = 73 × 1911 × 22 × 163811
LCM(65513,65524) = 4292673812