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What is the Least Common Multiple of 10846 and 10855?

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 10846 and 10855 is 117733330.

LCM(10846,10855) = 117733330

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Least Common Multiple of 10846 and 10855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10846 and 10855, than apply into the LCM equation.

GCF(10846,10855) = 1
LCM(10846,10855) = ( 10846 × 10855) / 1
LCM(10846,10855) = 117733330 / 1
LCM(10846,10855) = 117733330

Least Common Multiple (LCM) of 10846 and 10855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10846 and 10855. First we will calculate the prime factors of 10846 and 10855.

Prime Factorization of 10846

Prime factors of 10846 are 2, 11, 17, 29. Prime factorization of 10846 in exponential form is:

10846 = 21 × 111 × 171 × 291

Prime Factorization of 10855

Prime factors of 10855 are 5, 13, 167. Prime factorization of 10855 in exponential form is:

10855 = 51 × 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 10846 and 10855.

LCM(10846,10855) = 21 × 111 × 171 × 291 × 51 × 131 × 1671
LCM(10846,10855) = 117733330