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What is the Least Common Multiple of 1121 and 1137?

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 1121 and 1137 is 1274577.

LCM(1121,1137) = 1274577

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Least Common Multiple of 1121 and 1137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1121 and 1137, than apply into the LCM equation.

GCF(1121,1137) = 1
LCM(1121,1137) = ( 1121 × 1137) / 1
LCM(1121,1137) = 1274577 / 1
LCM(1121,1137) = 1274577

Least Common Multiple (LCM) of 1121 and 1137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1121 and 1137. First we will calculate the prime factors of 1121 and 1137.

Prime Factorization of 1121

Prime factors of 1121 are 19, 59. Prime factorization of 1121 in exponential form is:

1121 = 191 × 591

Prime Factorization of 1137

Prime factors of 1137 are 3, 379. Prime factorization of 1137 in exponential form is:

1137 = 31 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 1121 and 1137.

LCM(1121,1137) = 191 × 591 × 31 × 3791
LCM(1121,1137) = 1274577