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What is the Least Common Multiple of 63730 and 63737?

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 63730 and 63737 is 4061959010.

LCM(63730,63737) = 4061959010

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Least Common Multiple of 63730 and 63737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63730 and 63737, than apply into the LCM equation.

GCF(63730,63737) = 1
LCM(63730,63737) = ( 63730 × 63737) / 1
LCM(63730,63737) = 4061959010 / 1
LCM(63730,63737) = 4061959010

Least Common Multiple (LCM) of 63730 and 63737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63730 and 63737. First we will calculate the prime factors of 63730 and 63737.

Prime Factorization of 63730

Prime factors of 63730 are 2, 5, 6373. Prime factorization of 63730 in exponential form is:

63730 = 21 × 51 × 63731

Prime Factorization of 63737

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

63737 = 637371

Now multiplying the highest exponent prime factors to calculate the LCM of 63730 and 63737.

LCM(63730,63737) = 21 × 51 × 63731 × 637371
LCM(63730,63737) = 4061959010