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What is the Least Common Multiple of 52496 and 52512?

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 52496 and 52512 is 172291872.

LCM(52496,52512) = 172291872

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Least Common Multiple of 52496 and 52512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52496 and 52512, than apply into the LCM equation.

GCF(52496,52512) = 16
LCM(52496,52512) = ( 52496 × 52512) / 16
LCM(52496,52512) = 2756669952 / 16
LCM(52496,52512) = 172291872

Least Common Multiple (LCM) of 52496 and 52512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52496 and 52512. First we will calculate the prime factors of 52496 and 52512.

Prime Factorization of 52496

Prime factors of 52496 are 2, 17, 193. Prime factorization of 52496 in exponential form is:

52496 = 24 × 171 × 1931

Prime Factorization of 52512

Prime factors of 52512 are 2, 3, 547. Prime factorization of 52512 in exponential form is:

52512 = 25 × 31 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 52496 and 52512.

LCM(52496,52512) = 25 × 171 × 1931 × 31 × 5471
LCM(52496,52512) = 172291872