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What is the Least Common Multiple of 60553 and 60573?

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 60553 and 60573 is 3667876869.

LCM(60553,60573) = 3667876869

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Least Common Multiple of 60553 and 60573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60553 and 60573, than apply into the LCM equation.

GCF(60553,60573) = 1
LCM(60553,60573) = ( 60553 × 60573) / 1
LCM(60553,60573) = 3667876869 / 1
LCM(60553,60573) = 3667876869

Least Common Multiple (LCM) of 60553 and 60573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60553 and 60573. First we will calculate the prime factors of 60553 and 60573.

Prime Factorization of 60553

Prime factors of 60553 are 19, 3187. Prime factorization of 60553 in exponential form is:

60553 = 191 × 31871

Prime Factorization of 60573

Prime factors of 60573 are 3, 61, 331. Prime factorization of 60573 in exponential form is:

60573 = 31 × 611 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 60553 and 60573.

LCM(60553,60573) = 191 × 31871 × 31 × 611 × 3311
LCM(60553,60573) = 3667876869