Least Common Multiple of 1122 and 1125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1122 and 1125 the smallest integer that is 420750 that is divisible by both numbers.

Least Common Multiple (LCM) of 1122 and 1125 is 420750.

LCM(1122,1125) = 420750

LCM of 1122 and 1125

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

LCM of:
and

Least Common Multiple of 1122 and 1125

LCM of 1122 and 1125 is 420750

Least common multiple can be found by multiplying the highest exponent prime factors of 1122 and 1125. First we will calculate the prime factors of 1122 and 1125.

Prime Factorization of 1122


2 1122
3 561
11 187
17 17
1

Prime factors of 1122 are 2, 3, 11,17. Prime factorization of 1122 in exponential form is:

1122 = 21×31×111×171

Prime Factorization of 1125


3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:

1125 = 32×53

Now multiplying the highest exponent prime factors to calculate the LCM of 1122 and 1125.

LCM(1122,1125) = 21×32×53×111×171
LCM(1122,1125) = 420750

Factors of 1122

List of positive integer factors of 1122 that divides 1122 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125

Least Common Multiple of 1122 and 1125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1122 and 1125, than apply into the LCM equation.

GCF(1122,1125) = 3
LCM(1122,1125) = ( 1122 × 1125) / 3
LCM(1122,1125) = 1262250 / 3
LCM(1122,1125) = 420750

Properties of LCM 1122 and 1125

(i) The LCM of 1125 and 1122 is associative

LCM of 1122 and 1125 = LCM of 1125 and 1122

Related Least Common Multiples of 1122

Related Least Common Multiples of 1125

Frequently Asked Questions on LCM of 1122 and 1125

1. What is the LCM of 1122 and 1125?

Answer: LCM of 1122 and 1125 is 420750.

2. What are the Factors of 1122?

Answer: Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. There are 16 integers that are factors of 1122. The greatest factor of 1122 is 1122.

3. What are the Factors of 1125?

Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.

4. How to Find the LCM of 1122 and 1125?

Answer:

Least Common Multiple of 1122 and 1125 = 420750

Step 1: Find the prime factorization of 1122

1122 = 2 x 3 x 11 x 17

Step 2: Find the prime factorization of 1125

1125 = 3 x 3 x 5 x 5 x 5

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

LCM = 420750 = 2 x 3 x 3 x 5 x 5 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 1122 and 1125 is 420750.