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What is the Least Common Multiple of 63634 and 63640?

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 63634 and 63640 is 2024833880.

LCM(63634,63640) = 2024833880

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Least Common Multiple of 63634 and 63640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63634 and 63640, than apply into the LCM equation.

GCF(63634,63640) = 2
LCM(63634,63640) = ( 63634 × 63640) / 2
LCM(63634,63640) = 4049667760 / 2
LCM(63634,63640) = 2024833880

Least Common Multiple (LCM) of 63634 and 63640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63634 and 63640. First we will calculate the prime factors of 63634 and 63640.

Prime Factorization of 63634

Prime factors of 63634 are 2, 31817. Prime factorization of 63634 in exponential form is:

63634 = 21 × 318171

Prime Factorization of 63640

Prime factors of 63640 are 2, 5, 37, 43. Prime factorization of 63640 in exponential form is:

63640 = 23 × 51 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 63634 and 63640.

LCM(63634,63640) = 23 × 318171 × 51 × 371 × 431
LCM(63634,63640) = 2024833880