What is the Least Common Multiple of 63351 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 63351 and 63355 is 4013602605.
LCM(63351,63355) = 4013602605
Least Common Multiple of 63351 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 63351 and 63355, than apply into the LCM equation.
GCF(63351,63355) = 1
LCM(63351,63355) = ( 63351 × 63355) / 1
LCM(63351,63355) = 4013602605 / 1
LCM(63351,63355) = 4013602605
Least Common Multiple (LCM) of 63351 and 63355 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63351 and 63355. First we will calculate the prime factors of 63351 and 63355.
Prime Factorization of 63351
Prime factors of 63351 are 3, 7039. Prime factorization of 63351 in exponential form is:
63351 = 32 × 70391
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 63351 and 63355.
LCM(63351,63355) = 32 × 70391 × 51 × 126711
LCM(63351,63355) = 4013602605
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