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What is the Least Common Multiple of 29863 and 29880?

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 29863 and 29880 is 892306440.

LCM(29863,29880) = 892306440

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Least Common Multiple of 29863 and 29880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29863 and 29880, than apply into the LCM equation.

GCF(29863,29880) = 1
LCM(29863,29880) = ( 29863 × 29880) / 1
LCM(29863,29880) = 892306440 / 1
LCM(29863,29880) = 892306440

Least Common Multiple (LCM) of 29863 and 29880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29863 and 29880. First we will calculate the prime factors of 29863 and 29880.

Prime Factorization of 29863

Prime factors of 29863 are 29863. Prime factorization of 29863 in exponential form is:

29863 = 298631

Prime Factorization of 29880

Prime factors of 29880 are 2, 3, 5, 83. Prime factorization of 29880 in exponential form is:

29880 = 23 × 32 × 51 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 29863 and 29880.

LCM(29863,29880) = 298631 × 23 × 32 × 51 × 831
LCM(29863,29880) = 892306440