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What is the Least Common Multiple of 63547 and 63554?

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 63547 and 63554 is 4038666038.

LCM(63547,63554) = 4038666038

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Least Common Multiple of 63547 and 63554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63547 and 63554, than apply into the LCM equation.

GCF(63547,63554) = 1
LCM(63547,63554) = ( 63547 × 63554) / 1
LCM(63547,63554) = 4038666038 / 1
LCM(63547,63554) = 4038666038

Least Common Multiple (LCM) of 63547 and 63554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63547 and 63554. First we will calculate the prime factors of 63547 and 63554.

Prime Factorization of 63547

Prime factors of 63547 are 11, 53, 109. Prime factorization of 63547 in exponential form is:

63547 = 111 × 531 × 1091

Prime Factorization of 63554

Prime factors of 63554 are 2, 43, 739. Prime factorization of 63554 in exponential form is:

63554 = 21 × 431 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 63547 and 63554.

LCM(63547,63554) = 111 × 531 × 1091 × 21 × 431 × 7391
LCM(63547,63554) = 4038666038