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What is the Least Common Multiple of 63907 and 63918?

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 63907 and 63918 is 4084807626.

LCM(63907,63918) = 4084807626

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Least Common Multiple of 63907 and 63918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63907 and 63918, than apply into the LCM equation.

GCF(63907,63918) = 1
LCM(63907,63918) = ( 63907 × 63918) / 1
LCM(63907,63918) = 4084807626 / 1
LCM(63907,63918) = 4084807626

Least Common Multiple (LCM) of 63907 and 63918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63907 and 63918. First we will calculate the prime factors of 63907 and 63918.

Prime Factorization of 63907

Prime factors of 63907 are 63907. Prime factorization of 63907 in exponential form is:

63907 = 639071

Prime Factorization of 63918

Prime factors of 63918 are 2, 3, 53, 67. Prime factorization of 63918 in exponential form is:

63918 = 21 × 32 × 531 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 63907 and 63918.

LCM(63907,63918) = 639071 × 21 × 32 × 531 × 671
LCM(63907,63918) = 4084807626