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What is the Least Common Multiple of 1084 and 1093?

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 1084 and 1093 is 1184812.

LCM(1084,1093) = 1184812

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Least Common Multiple of 1084 and 1093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1084 and 1093, than apply into the LCM equation.

GCF(1084,1093) = 1
LCM(1084,1093) = ( 1084 × 1093) / 1
LCM(1084,1093) = 1184812 / 1
LCM(1084,1093) = 1184812

Least Common Multiple (LCM) of 1084 and 1093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1084 and 1093. First we will calculate the prime factors of 1084 and 1093.

Prime Factorization of 1084

Prime factors of 1084 are 2, 271. Prime factorization of 1084 in exponential form is:

1084 = 22 × 2711

Prime Factorization of 1093

Prime factors of 1093 are 1093. Prime factorization of 1093 in exponential form is:

1093 = 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 1084 and 1093.

LCM(1084,1093) = 22 × 2711 × 10931
LCM(1084,1093) = 1184812