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What is the Least Common Multiple of 1099 and 1117?

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 1099 and 1117 is 1227583.

LCM(1099,1117) = 1227583

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Least Common Multiple of 1099 and 1117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1099 and 1117, than apply into the LCM equation.

GCF(1099,1117) = 1
LCM(1099,1117) = ( 1099 × 1117) / 1
LCM(1099,1117) = 1227583 / 1
LCM(1099,1117) = 1227583

Least Common Multiple (LCM) of 1099 and 1117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1099 and 1117. First we will calculate the prime factors of 1099 and 1117.

Prime Factorization of 1099

Prime factors of 1099 are 7, 157. Prime factorization of 1099 in exponential form is:

1099 = 71 × 1571

Prime Factorization of 1117

Prime factors of 1117 are 1117. Prime factorization of 1117 in exponential form is:

1117 = 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 1099 and 1117.

LCM(1099,1117) = 71 × 1571 × 11171
LCM(1099,1117) = 1227583