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What is the Least Common Multiple of 65512 and 65525?

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 65512 and 65525 is 4292673800.

LCM(65512,65525) = 4292673800

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Least Common Multiple of 65512 and 65525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65512 and 65525, than apply into the LCM equation.

GCF(65512,65525) = 1
LCM(65512,65525) = ( 65512 × 65525) / 1
LCM(65512,65525) = 4292673800 / 1
LCM(65512,65525) = 4292673800

Least Common Multiple (LCM) of 65512 and 65525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65512 and 65525. First we will calculate the prime factors of 65512 and 65525.

Prime Factorization of 65512

Prime factors of 65512 are 2, 19, 431. Prime factorization of 65512 in exponential form is:

65512 = 23 × 191 × 4311

Prime Factorization of 65525

Prime factors of 65525 are 5, 2621. Prime factorization of 65525 in exponential form is:

65525 = 52 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 65512 and 65525.

LCM(65512,65525) = 23 × 191 × 4311 × 52 × 26211
LCM(65512,65525) = 4292673800