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What is the Least Common Multiple of 11095 and 11105?

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 11095 and 11105 is 24641995.

LCM(11095,11105) = 24641995

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Least Common Multiple of 11095 and 11105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11095 and 11105, than apply into the LCM equation.

GCF(11095,11105) = 5
LCM(11095,11105) = ( 11095 × 11105) / 5
LCM(11095,11105) = 123209975 / 5
LCM(11095,11105) = 24641995

Least Common Multiple (LCM) of 11095 and 11105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11095 and 11105. First we will calculate the prime factors of 11095 and 11105.

Prime Factorization of 11095

Prime factors of 11095 are 5, 7, 317. Prime factorization of 11095 in exponential form is:

11095 = 51 × 71 × 3171

Prime Factorization of 11105

Prime factors of 11105 are 5, 2221. Prime factorization of 11105 in exponential form is:

11105 = 51 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 11095 and 11105.

LCM(11095,11105) = 51 × 71 × 3171 × 22211
LCM(11095,11105) = 24641995