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What is the Least Common Multiple of 60502 and 60521?

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 60521 is 3661641542.

LCM(60502,60521) = 3661641542

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Least Common Multiple of 60502 and 60521 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 60521, than apply into the LCM equation.

GCF(60502,60521) = 1
LCM(60502,60521) = ( 60502 × 60521) / 1
LCM(60502,60521) = 3661641542 / 1
LCM(60502,60521) = 3661641542

Least Common Multiple (LCM) of 60502 and 60521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60502 and 60521. First we will calculate the prime factors of 60502 and 60521.

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 60521

Prime factors of 60521 are 60521. Prime factorization of 60521 in exponential form is:

60521 = 605211

Now multiplying the highest exponent prime factors to calculate the LCM of 60502 and 60521.

LCM(60502,60521) = 21 × 132 × 1791 × 605211
LCM(60502,60521) = 3661641542