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What is the Least Common Multiple of 1121 and 1128?

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 1128 is 1264488.

LCM(1121,1128) = 1264488

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Least Common Multiple of 1121 and 1128 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 1128, than apply into the LCM equation.

GCF(1121,1128) = 1
LCM(1121,1128) = ( 1121 × 1128) / 1
LCM(1121,1128) = 1264488 / 1
LCM(1121,1128) = 1264488

Least Common Multiple (LCM) of 1121 and 1128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1121 and 1128. First we will calculate the prime factors of 1121 and 1128.

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 1128

Prime factors of 1128 are 2, 3, 47. Prime factorization of 1128 in exponential form is:

1128 = 23 × 31 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 1121 and 1128.

LCM(1121,1128) = 191 × 591 × 23 × 31 × 471
LCM(1121,1128) = 1264488