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What is the Least Common Multiple of 1112 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 1112 and 1128 is 156792.

LCM(1112,1128) = 156792

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Least Common Multiple of 1112 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 1112 and 1128, than apply into the LCM equation.

GCF(1112,1128) = 8
LCM(1112,1128) = ( 1112 × 1128) / 8
LCM(1112,1128) = 1254336 / 8
LCM(1112,1128) = 156792

Least Common Multiple (LCM) of 1112 and 1128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1112 and 1128. First we will calculate the prime factors of 1112 and 1128.

Prime Factorization of 1112

Prime factors of 1112 are 2, 139. Prime factorization of 1112 in exponential form is:

1112 = 23 × 1391

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 1112 and 1128.

LCM(1112,1128) = 23 × 1391 × 31 × 471
LCM(1112,1128) = 156792