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What is the Least Common Multiple of 10820 and 10832?

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 10820 and 10832 is 29300560.

LCM(10820,10832) = 29300560

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Least Common Multiple of 10820 and 10832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10820 and 10832, than apply into the LCM equation.

GCF(10820,10832) = 4
LCM(10820,10832) = ( 10820 × 10832) / 4
LCM(10820,10832) = 117202240 / 4
LCM(10820,10832) = 29300560

Least Common Multiple (LCM) of 10820 and 10832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10820 and 10832. First we will calculate the prime factors of 10820 and 10832.

Prime Factorization of 10820

Prime factors of 10820 are 2, 5, 541. Prime factorization of 10820 in exponential form is:

10820 = 22 × 51 × 5411

Prime Factorization of 10832

Prime factors of 10832 are 2, 677. Prime factorization of 10832 in exponential form is:

10832 = 24 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 10820 and 10832.

LCM(10820,10832) = 24 × 51 × 5411 × 6771
LCM(10820,10832) = 29300560