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What is the Least Common Multiple of 63338 and 63355?

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 63338 and 63355 is 4012778990.

LCM(63338,63355) = 4012778990

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Least Common Multiple of 63338 and 63355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63338 and 63355, than apply into the LCM equation.

GCF(63338,63355) = 1
LCM(63338,63355) = ( 63338 × 63355) / 1
LCM(63338,63355) = 4012778990 / 1
LCM(63338,63355) = 4012778990

Least Common Multiple (LCM) of 63338 and 63355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63338 and 63355. First we will calculate the prime factors of 63338 and 63355.

Prime Factorization of 63338

Prime factors of 63338 are 2, 11, 2879. Prime factorization of 63338 in exponential form is:

63338 = 21 × 111 × 28791

Prime Factorization of 63355

Prime factors of 63355 are 5, 12671. Prime factorization of 63355 in exponential form is:

63355 = 51 × 126711

Now multiplying the highest exponent prime factors to calculate the LCM of 63338 and 63355.

LCM(63338,63355) = 21 × 111 × 28791 × 51 × 126711
LCM(63338,63355) = 4012778990