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What is the Least Common Multiple of 63916 and 63927?

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 63916 and 63927 is 4085958132.

LCM(63916,63927) = 4085958132

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Least Common Multiple of 63916 and 63927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63916 and 63927, than apply into the LCM equation.

GCF(63916,63927) = 1
LCM(63916,63927) = ( 63916 × 63927) / 1
LCM(63916,63927) = 4085958132 / 1
LCM(63916,63927) = 4085958132

Least Common Multiple (LCM) of 63916 and 63927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63916 and 63927. First we will calculate the prime factors of 63916 and 63927.

Prime Factorization of 63916

Prime factors of 63916 are 2, 19, 29. Prime factorization of 63916 in exponential form is:

63916 = 22 × 191 × 292

Prime Factorization of 63927

Prime factors of 63927 are 3, 7103. Prime factorization of 63927 in exponential form is:

63927 = 32 × 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 63916 and 63927.

LCM(63916,63927) = 22 × 191 × 292 × 32 × 71031
LCM(63916,63927) = 4085958132