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What is the Least Common Multiple of 60482 and 60500?

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 60482 and 60500 is 1829580500.

LCM(60482,60500) = 1829580500

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Least Common Multiple of 60482 and 60500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60482 and 60500, than apply into the LCM equation.

GCF(60482,60500) = 2
LCM(60482,60500) = ( 60482 × 60500) / 2
LCM(60482,60500) = 3659161000 / 2
LCM(60482,60500) = 1829580500

Least Common Multiple (LCM) of 60482 and 60500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60482 and 60500. First we will calculate the prime factors of 60482 and 60500.

Prime Factorization of 60482

Prime factors of 60482 are 2, 30241. Prime factorization of 60482 in exponential form is:

60482 = 21 × 302411

Prime Factorization of 60500

Prime factors of 60500 are 2, 5, 11. Prime factorization of 60500 in exponential form is:

60500 = 22 × 53 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 60482 and 60500.

LCM(60482,60500) = 22 × 302411 × 53 × 112
LCM(60482,60500) = 1829580500