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What is the Least Common Multiple of 1101 and 1119?

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 1101 and 1119 is 410673.

LCM(1101,1119) = 410673

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Least Common Multiple of 1101 and 1119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1101 and 1119, than apply into the LCM equation.

GCF(1101,1119) = 3
LCM(1101,1119) = ( 1101 × 1119) / 3
LCM(1101,1119) = 1232019 / 3
LCM(1101,1119) = 410673

Least Common Multiple (LCM) of 1101 and 1119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1101 and 1119. First we will calculate the prime factors of 1101 and 1119.

Prime Factorization of 1101

Prime factors of 1101 are 3, 367. Prime factorization of 1101 in exponential form is:

1101 = 31 × 3671

Prime Factorization of 1119

Prime factors of 1119 are 3, 373. Prime factorization of 1119 in exponential form is:

1119 = 31 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 1101 and 1119.

LCM(1101,1119) = 31 × 3671 × 3731
LCM(1101,1119) = 410673