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What is the Least Common Multiple of 63328 and 63340?

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 63328 and 63340 is 1002798880.

LCM(63328,63340) = 1002798880

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Least Common Multiple of 63328 and 63340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63328 and 63340, than apply into the LCM equation.

GCF(63328,63340) = 4
LCM(63328,63340) = ( 63328 × 63340) / 4
LCM(63328,63340) = 4011195520 / 4
LCM(63328,63340) = 1002798880

Least Common Multiple (LCM) of 63328 and 63340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63328 and 63340. First we will calculate the prime factors of 63328 and 63340.

Prime Factorization of 63328

Prime factors of 63328 are 2, 1979. Prime factorization of 63328 in exponential form is:

63328 = 25 × 19791

Prime Factorization of 63340

Prime factors of 63340 are 2, 5, 3167. Prime factorization of 63340 in exponential form is:

63340 = 22 × 51 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 63328 and 63340.

LCM(63328,63340) = 25 × 19791 × 51 × 31671
LCM(63328,63340) = 1002798880