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What is the Least Common Multiple of 1116 and 1123?

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 1116 and 1123 is 1253268.

LCM(1116,1123) = 1253268

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Least Common Multiple of 1116 and 1123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1116 and 1123, than apply into the LCM equation.

GCF(1116,1123) = 1
LCM(1116,1123) = ( 1116 × 1123) / 1
LCM(1116,1123) = 1253268 / 1
LCM(1116,1123) = 1253268

Least Common Multiple (LCM) of 1116 and 1123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1116 and 1123. First we will calculate the prime factors of 1116 and 1123.

Prime Factorization of 1116

Prime factors of 1116 are 2, 3, 31. Prime factorization of 1116 in exponential form is:

1116 = 22 × 32 × 311

Prime Factorization of 1123

Prime factors of 1123 are 1123. Prime factorization of 1123 in exponential form is:

1123 = 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 1116 and 1123.

LCM(1116,1123) = 22 × 32 × 311 × 11231
LCM(1116,1123) = 1253268