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What is the Least Common Multiple of 10848 and 10860?

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 10860 is 9817440.

LCM(10848,10860) = 9817440

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Least Common Multiple of 10848 and 10860 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 10860, than apply into the LCM equation.

GCF(10848,10860) = 12
LCM(10848,10860) = ( 10848 × 10860) / 12
LCM(10848,10860) = 117809280 / 12
LCM(10848,10860) = 9817440

Least Common Multiple (LCM) of 10848 and 10860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10848 and 10860. First we will calculate the prime factors of 10848 and 10860.

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 10860

Prime factors of 10860 are 2, 3, 5, 181. Prime factorization of 10860 in exponential form is:

10860 = 22 × 31 × 51 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 10848 and 10860.

LCM(10848,10860) = 25 × 31 × 1131 × 51 × 1811
LCM(10848,10860) = 9817440