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What is the Least Common Multiple of 10848 and 10863?

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 10848 and 10863 is 39280608.

LCM(10848,10863) = 39280608

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Least Common Multiple of 10848 and 10863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10848 and 10863, than apply into the LCM equation.

GCF(10848,10863) = 3
LCM(10848,10863) = ( 10848 × 10863) / 3
LCM(10848,10863) = 117841824 / 3
LCM(10848,10863) = 39280608

Least Common Multiple (LCM) of 10848 and 10863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10848 and 10863. First we will calculate the prime factors of 10848 and 10863.

Prime Factorization of 10848

Prime factors of 10848 are 2, 3, 113. Prime factorization of 10848 in exponential form is:

10848 = 25 × 31 × 1131

Prime Factorization of 10863

Prime factors of 10863 are 3, 17, 71. Prime factorization of 10863 in exponential form is:

10863 = 32 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 10848 and 10863.

LCM(10848,10863) = 25 × 32 × 1131 × 171 × 711
LCM(10848,10863) = 39280608