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What is the Least Common Multiple of 10789 and 10808?

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 10789 and 10808 is 116607512.

LCM(10789,10808) = 116607512

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Least Common Multiple of 10789 and 10808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10789 and 10808, than apply into the LCM equation.

GCF(10789,10808) = 1
LCM(10789,10808) = ( 10789 × 10808) / 1
LCM(10789,10808) = 116607512 / 1
LCM(10789,10808) = 116607512

Least Common Multiple (LCM) of 10789 and 10808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10789 and 10808. First we will calculate the prime factors of 10789 and 10808.

Prime Factorization of 10789

Prime factors of 10789 are 10789. Prime factorization of 10789 in exponential form is:

10789 = 107891

Prime Factorization of 10808

Prime factors of 10808 are 2, 7, 193. Prime factorization of 10808 in exponential form is:

10808 = 23 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10789 and 10808.

LCM(10789,10808) = 107891 × 23 × 71 × 1931
LCM(10789,10808) = 116607512