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What is the Least Common Multiple of 11070 and 11083?

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 11070 and 11083 is 122688810.

LCM(11070,11083) = 122688810

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Least Common Multiple of 11070 and 11083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11070 and 11083, than apply into the LCM equation.

GCF(11070,11083) = 1
LCM(11070,11083) = ( 11070 × 11083) / 1
LCM(11070,11083) = 122688810 / 1
LCM(11070,11083) = 122688810

Least Common Multiple (LCM) of 11070 and 11083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11070 and 11083. First we will calculate the prime factors of 11070 and 11083.

Prime Factorization of 11070

Prime factors of 11070 are 2, 3, 5, 41. Prime factorization of 11070 in exponential form is:

11070 = 21 × 33 × 51 × 411

Prime Factorization of 11083

Prime factors of 11083 are 11083. Prime factorization of 11083 in exponential form is:

11083 = 110831

Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11083.

LCM(11070,11083) = 21 × 33 × 51 × 411 × 110831
LCM(11070,11083) = 122688810