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What is the Least Common Multiple of 63353 and 63361?

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 63353 and 63361 is 4014109433.

LCM(63353,63361) = 4014109433

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Least Common Multiple of 63353 and 63361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63353 and 63361, than apply into the LCM equation.

GCF(63353,63361) = 1
LCM(63353,63361) = ( 63353 × 63361) / 1
LCM(63353,63361) = 4014109433 / 1
LCM(63353,63361) = 4014109433

Least Common Multiple (LCM) of 63353 and 63361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63353 and 63361. First we will calculate the prime factors of 63353 and 63361.

Prime Factorization of 63353

Prime factors of 63353 are 63353. Prime factorization of 63353 in exponential form is:

63353 = 633531

Prime Factorization of 63361

Prime factors of 63361 are 63361. Prime factorization of 63361 in exponential form is:

63361 = 633611

Now multiplying the highest exponent prime factors to calculate the LCM of 63353 and 63361.

LCM(63353,63361) = 633531 × 633611
LCM(63353,63361) = 4014109433