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What is the Least Common Multiple of 63320 and 63331?

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 63320 and 63331 is 4010118920.

LCM(63320,63331) = 4010118920

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Least Common Multiple of 63320 and 63331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63320 and 63331, than apply into the LCM equation.

GCF(63320,63331) = 1
LCM(63320,63331) = ( 63320 × 63331) / 1
LCM(63320,63331) = 4010118920 / 1
LCM(63320,63331) = 4010118920

Least Common Multiple (LCM) of 63320 and 63331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63320 and 63331. First we will calculate the prime factors of 63320 and 63331.

Prime Factorization of 63320

Prime factors of 63320 are 2, 5, 1583. Prime factorization of 63320 in exponential form is:

63320 = 23 × 51 × 15831

Prime Factorization of 63331

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

63331 = 633311

Now multiplying the highest exponent prime factors to calculate the LCM of 63320 and 63331.

LCM(63320,63331) = 23 × 51 × 15831 × 633311
LCM(63320,63331) = 4010118920