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What is the Least Common Multiple of 11074 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 11074 and 11083 is 122733142.

LCM(11074,11083) = 122733142

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Least Common Multiple of 11074 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 11074 and 11083, than apply into the LCM equation.

GCF(11074,11083) = 1
LCM(11074,11083) = ( 11074 × 11083) / 1
LCM(11074,11083) = 122733142 / 1
LCM(11074,11083) = 122733142

Least Common Multiple (LCM) of 11074 and 11083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11074 and 11083. First we will calculate the prime factors of 11074 and 11083.

Prime Factorization of 11074

Prime factors of 11074 are 2, 7, 113. Prime factorization of 11074 in exponential form is:

11074 = 21 × 72 × 1131

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 11074 and 11083.

LCM(11074,11083) = 21 × 72 × 1131 × 110831
LCM(11074,11083) = 122733142