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What is the Least Common Multiple of 63718 and 63736?

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 63718 and 63736 is 2030565224.

LCM(63718,63736) = 2030565224

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Least Common Multiple of 63718 and 63736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63718 and 63736, than apply into the LCM equation.

GCF(63718,63736) = 2
LCM(63718,63736) = ( 63718 × 63736) / 2
LCM(63718,63736) = 4061130448 / 2
LCM(63718,63736) = 2030565224

Least Common Multiple (LCM) of 63718 and 63736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63718 and 63736. First we will calculate the prime factors of 63718 and 63736.

Prime Factorization of 63718

Prime factors of 63718 are 2, 31859. Prime factorization of 63718 in exponential form is:

63718 = 21 × 318591

Prime Factorization of 63736

Prime factors of 63736 are 2, 31, 257. Prime factorization of 63736 in exponential form is:

63736 = 23 × 311 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 63718 and 63736.

LCM(63718,63736) = 23 × 318591 × 311 × 2571
LCM(63718,63736) = 2030565224