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What is the Least Common Multiple of 63880 and 63890?

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 63880 and 63890 is 408129320.

LCM(63880,63890) = 408129320

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Least Common Multiple of 63880 and 63890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63880 and 63890, than apply into the LCM equation.

GCF(63880,63890) = 10
LCM(63880,63890) = ( 63880 × 63890) / 10
LCM(63880,63890) = 4081293200 / 10
LCM(63880,63890) = 408129320

Least Common Multiple (LCM) of 63880 and 63890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63880 and 63890. First we will calculate the prime factors of 63880 and 63890.

Prime Factorization of 63880

Prime factors of 63880 are 2, 5, 1597. Prime factorization of 63880 in exponential form is:

63880 = 23 × 51 × 15971

Prime Factorization of 63890

Prime factors of 63890 are 2, 5, 6389. Prime factorization of 63890 in exponential form is:

63890 = 21 × 51 × 63891

Now multiplying the highest exponent prime factors to calculate the LCM of 63880 and 63890.

LCM(63880,63890) = 23 × 51 × 15971 × 63891
LCM(63880,63890) = 408129320