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What is the Least Common Multiple of 63331 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 63331 and 63340 is 4011385540.

LCM(63331,63340) = 4011385540

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Least Common Multiple of 63331 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 63331 and 63340, than apply into the LCM equation.

GCF(63331,63340) = 1
LCM(63331,63340) = ( 63331 × 63340) / 1
LCM(63331,63340) = 4011385540 / 1
LCM(63331,63340) = 4011385540

Least Common Multiple (LCM) of 63331 and 63340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63331 and 63340. First we will calculate the prime factors of 63331 and 63340.

Prime Factorization of 63331

Prime factors of 63331 are 63331. Prime factorization of 63331 in exponential form is:

63331 = 633311

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 63331 and 63340.

LCM(63331,63340) = 633311 × 22 × 51 × 31671
LCM(63331,63340) = 4011385540