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What is the Least Common Multiple of 63477 and 63491?

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 63477 and 63491 is 4030218207.

LCM(63477,63491) = 4030218207

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Least Common Multiple of 63477 and 63491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63477 and 63491, than apply into the LCM equation.

GCF(63477,63491) = 1
LCM(63477,63491) = ( 63477 × 63491) / 1
LCM(63477,63491) = 4030218207 / 1
LCM(63477,63491) = 4030218207

Least Common Multiple (LCM) of 63477 and 63491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63477 and 63491. First we will calculate the prime factors of 63477 and 63491.

Prime Factorization of 63477

Prime factors of 63477 are 3, 2351. Prime factorization of 63477 in exponential form is:

63477 = 33 × 23511

Prime Factorization of 63491

Prime factors of 63491 are 173, 367. Prime factorization of 63491 in exponential form is:

63491 = 1731 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 63477 and 63491.

LCM(63477,63491) = 33 × 23511 × 1731 × 3671
LCM(63477,63491) = 4030218207