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What is the Least Common Multiple of 60502 and 60511?

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 60502 and 60511 is 3661036522.

LCM(60502,60511) = 3661036522

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Least Common Multiple of 60502 and 60511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60502 and 60511, than apply into the LCM equation.

GCF(60502,60511) = 1
LCM(60502,60511) = ( 60502 × 60511) / 1
LCM(60502,60511) = 3661036522 / 1
LCM(60502,60511) = 3661036522

Least Common Multiple (LCM) of 60502 and 60511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60502 and 60511. First we will calculate the prime factors of 60502 and 60511.

Prime Factorization of 60502

Prime factors of 60502 are 2, 13, 179. Prime factorization of 60502 in exponential form is:

60502 = 21 × 132 × 1791

Prime Factorization of 60511

Prime factors of 60511 are 11, 5501. Prime factorization of 60511 in exponential form is:

60511 = 111 × 55011

Now multiplying the highest exponent prime factors to calculate the LCM of 60502 and 60511.

LCM(60502,60511) = 21 × 132 × 1791 × 111 × 55011
LCM(60502,60511) = 3661036522