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What is the Least Common Multiple of 60482 and 60496?

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 60496 is 1829459536.

LCM(60482,60496) = 1829459536

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Least Common Multiple of 60482 and 60496 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 60496, than apply into the LCM equation.

GCF(60482,60496) = 2
LCM(60482,60496) = ( 60482 × 60496) / 2
LCM(60482,60496) = 3658919072 / 2
LCM(60482,60496) = 1829459536

Least Common Multiple (LCM) of 60482 and 60496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60482 and 60496. First we will calculate the prime factors of 60482 and 60496.

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 60496

Prime factors of 60496 are 2, 19, 199. Prime factorization of 60496 in exponential form is:

60496 = 24 × 191 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 60482 and 60496.

LCM(60482,60496) = 24 × 302411 × 191 × 1991
LCM(60482,60496) = 1829459536