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What is the Least Common Multiple of 63737 and 63752?

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 63752 is 4063361224.

LCM(63737,63752) = 4063361224

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Least Common Multiple of 63737 and 63752 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 63752, than apply into the LCM equation.

GCF(63737,63752) = 1
LCM(63737,63752) = ( 63737 × 63752) / 1
LCM(63737,63752) = 4063361224 / 1
LCM(63737,63752) = 4063361224

Least Common Multiple (LCM) of 63737 and 63752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63737 and 63752. First we will calculate the prime factors of 63737 and 63752.

Prime Factorization of 63737

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

63737 = 637371

Prime Factorization of 63752

Prime factors of 63752 are 2, 13, 613. Prime factorization of 63752 in exponential form is:

63752 = 23 × 131 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 63737 and 63752.

LCM(63737,63752) = 637371 × 23 × 131 × 6131
LCM(63737,63752) = 4063361224