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What is the Least Common Multiple of 10828 and 10840?

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 10828 and 10840 is 29343880.

LCM(10828,10840) = 29343880

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Least Common Multiple of 10828 and 10840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10828 and 10840, than apply into the LCM equation.

GCF(10828,10840) = 4
LCM(10828,10840) = ( 10828 × 10840) / 4
LCM(10828,10840) = 117375520 / 4
LCM(10828,10840) = 29343880

Least Common Multiple (LCM) of 10828 and 10840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10828 and 10840. First we will calculate the prime factors of 10828 and 10840.

Prime Factorization of 10828

Prime factors of 10828 are 2, 2707. Prime factorization of 10828 in exponential form is:

10828 = 22 × 27071

Prime Factorization of 10840

Prime factors of 10840 are 2, 5, 271. Prime factorization of 10840 in exponential form is:

10840 = 23 × 51 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 10828 and 10840.

LCM(10828,10840) = 23 × 27071 × 51 × 2711
LCM(10828,10840) = 29343880