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What is the Least Common Multiple of 63721 and 63730?

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 63721 and 63730 is 4060939330.

LCM(63721,63730) = 4060939330

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Least Common Multiple of 63721 and 63730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63721 and 63730, than apply into the LCM equation.

GCF(63721,63730) = 1
LCM(63721,63730) = ( 63721 × 63730) / 1
LCM(63721,63730) = 4060939330 / 1
LCM(63721,63730) = 4060939330

Least Common Multiple (LCM) of 63721 and 63730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63721 and 63730. First we will calculate the prime factors of 63721 and 63730.

Prime Factorization of 63721

Prime factors of 63721 are 7, 9103. Prime factorization of 63721 in exponential form is:

63721 = 71 × 91031

Prime Factorization of 63730

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

63730 = 21 × 51 × 63731

Now multiplying the highest exponent prime factors to calculate the LCM of 63721 and 63730.

LCM(63721,63730) = 71 × 91031 × 21 × 51 × 63731
LCM(63721,63730) = 4060939330