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What is the Least Common Multiple of 63737 and 63754?

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 63737 and 63754 is 4063488698.

LCM(63737,63754) = 4063488698

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Least Common Multiple of 63737 and 63754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63737 and 63754, than apply into the LCM equation.

GCF(63737,63754) = 1
LCM(63737,63754) = ( 63737 × 63754) / 1
LCM(63737,63754) = 4063488698 / 1
LCM(63737,63754) = 4063488698

Least Common Multiple (LCM) of 63737 and 63754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63737 and 63754. First we will calculate the prime factors of 63737 and 63754.

Prime Factorization of 63737

Prime factors of 63737 are 63737. Prime factorization of 63737 in exponential form is:

63737 = 637371

Prime Factorization of 63754

Prime factors of 63754 are 2, 127, 251. Prime factorization of 63754 in exponential form is:

63754 = 21 × 1271 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 63737 and 63754.

LCM(63737,63754) = 637371 × 21 × 1271 × 2511
LCM(63737,63754) = 4063488698