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What is the Least Common Multiple of 63716 and 63727?

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 63716 and 63727 is 4060429532.

LCM(63716,63727) = 4060429532

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Least Common Multiple of 63716 and 63727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63716 and 63727, than apply into the LCM equation.

GCF(63716,63727) = 1
LCM(63716,63727) = ( 63716 × 63727) / 1
LCM(63716,63727) = 4060429532 / 1
LCM(63716,63727) = 4060429532

Least Common Multiple (LCM) of 63716 and 63727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63716 and 63727. First we will calculate the prime factors of 63716 and 63727.

Prime Factorization of 63716

Prime factors of 63716 are 2, 17, 937. Prime factorization of 63716 in exponential form is:

63716 = 22 × 171 × 9371

Prime Factorization of 63727

Prime factors of 63727 are 63727. Prime factorization of 63727 in exponential form is:

63727 = 637271

Now multiplying the highest exponent prime factors to calculate the LCM of 63716 and 63727.

LCM(63716,63727) = 22 × 171 × 9371 × 637271
LCM(63716,63727) = 4060429532