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What is the Least Common Multiple of 63245 and 63254?

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 63245 and 63254 is 4000499230.

LCM(63245,63254) = 4000499230

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Least Common Multiple of 63245 and 63254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63245 and 63254, than apply into the LCM equation.

GCF(63245,63254) = 1
LCM(63245,63254) = ( 63245 × 63254) / 1
LCM(63245,63254) = 4000499230 / 1
LCM(63245,63254) = 4000499230

Least Common Multiple (LCM) of 63245 and 63254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63245 and 63254. First we will calculate the prime factors of 63245 and 63254.

Prime Factorization of 63245

Prime factors of 63245 are 5, 7, 13, 139. Prime factorization of 63245 in exponential form is:

63245 = 51 × 71 × 131 × 1391

Prime Factorization of 63254

Prime factors of 63254 are 2, 31627. Prime factorization of 63254 in exponential form is:

63254 = 21 × 316271

Now multiplying the highest exponent prime factors to calculate the LCM of 63245 and 63254.

LCM(63245,63254) = 51 × 71 × 131 × 1391 × 21 × 316271
LCM(63245,63254) = 4000499230