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What is the Least Common Multiple of 63907 and 63914?

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 63914 is 4084551998.

LCM(63907,63914) = 4084551998

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Least Common Multiple of 63907 and 63914 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 63914, than apply into the LCM equation.

GCF(63907,63914) = 1
LCM(63907,63914) = ( 63907 × 63914) / 1
LCM(63907,63914) = 4084551998 / 1
LCM(63907,63914) = 4084551998

Least Common Multiple (LCM) of 63907 and 63914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63907 and 63914. First we will calculate the prime factors of 63907 and 63914.

Prime Factorization of 63907

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

63907 = 639071

Prime Factorization of 63914

Prime factors of 63914 are 2, 31957. Prime factorization of 63914 in exponential form is:

63914 = 21 × 319571

Now multiplying the highest exponent prime factors to calculate the LCM of 63907 and 63914.

LCM(63907,63914) = 639071 × 21 × 319571
LCM(63907,63914) = 4084551998