Least Common Multiple of 1121 and 1128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1121 and 1128 the smallest integer that is 1264488 that is divisible by both numbers.

Least Common Multiple (LCM) of 1121 and 1128 is 1264488.

LCM(1121,1128) = 1264488

LCM of 1121 and 1128

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1121 and 1128

LCM of 1121 and 1128 is 1264488

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


19 1121
59 59
1

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

1121 = 191×591

Prime Factorization of 1128


2 1128
2 564
2 282
3 141
47 47
1

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

Factors of 1121

List of positive integer factors of 1121 that divides 1121 without a remainder.

1, 19, 59, 1121

Factors of 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128

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

Properties of LCM 1121 and 1128

(i) The LCM of 1128 and 1121 is associative

LCM of 1121 and 1128 = LCM of 1128 and 1121

Related Least Common Multiples of 1121

Related Least Common Multiples of 1128

Frequently Asked Questions on LCM of 1121 and 1128

1. What is the LCM of 1121 and 1128?

Answer: LCM of 1121 and 1128 is 1264488.

2. What are the Factors of 1121?

Answer: Factors of 1121 are 1, 19, 59, 1121. There are 4 integers that are factors of 1121. The greatest factor of 1121 is 1121.

3. What are the Factors of 1128?

Answer: Factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. There are 16 integers that are factors of 1128. The greatest factor of 1128 is 1128.

4. How to Find the LCM of 1121 and 1128?

Answer:

Least Common Multiple of 1121 and 1128 = 1264488

Step 1: Find the prime factorization of 1121

1121 = 19 x 59

Step 2: Find the prime factorization of 1128

1128 = 2 x 2 x 2 x 3 x 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1264488 = 2 x 2 x 2 x 3 x 19 x 47 x 59

Step 4: Therefore, the least common multiple of 1121 and 1128 is 1264488.