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What is the Least Common Multiple of 65553 and 65573?

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 65553 and 65573 is 4298506869.

LCM(65553,65573) = 4298506869

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Least Common Multiple of 65553 and 65573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65553 and 65573, than apply into the LCM equation.

GCF(65553,65573) = 1
LCM(65553,65573) = ( 65553 × 65573) / 1
LCM(65553,65573) = 4298506869 / 1
LCM(65553,65573) = 4298506869

Least Common Multiple (LCM) of 65553 and 65573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65553 and 65573. First we will calculate the prime factors of 65553 and 65573.

Prime Factorization of 65553

Prime factors of 65553 are 3, 21851. Prime factorization of 65553 in exponential form is:

65553 = 31 × 218511

Prime Factorization of 65573

Prime factors of 65573 are 23, 2851. Prime factorization of 65573 in exponential form is:

65573 = 231 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 65553 and 65573.

LCM(65553,65573) = 31 × 218511 × 231 × 28511
LCM(65553,65573) = 4298506869