Least Common Multiple of 1119 and 1123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1119 and 1123 the smallest integer that is 1256637 that is divisible by both numbers.

Least Common Multiple (LCM) of 1119 and 1123 is 1256637.

LCM(1119,1123) = 1256637

LCM of 1119 and 1123

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

LCM of:
and

Least Common Multiple of 1119 and 1123

LCM of 1119 and 1123 is 1256637

Least common multiple can be found by multiplying the highest exponent prime factors of 1119 and 1123. First we will calculate the prime factors of 1119 and 1123.

Prime Factorization of 1119


3 1119
373 373
1

Prime factors of 1119 are 3,373. Prime factorization of 1119 in exponential form is:

1119 = 31×3731

Prime Factorization of 1123


1123 1123
1

Prime factors of 1123 are 1123. Prime factorization of 1123 in exponential form is:

1123 = 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 1119 and 1123.

LCM(1119,1123) = 31×3731×11231
LCM(1119,1123) = 1256637

Factors of 1119

List of positive integer factors of 1119 that divides 1119 without a remainder.

1, 3, 373, 1119

Factors of 1123

List of positive integer factors of 1123 that divides 1123 without a remainder.

1, 1123

Least Common Multiple of 1119 and 1123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1119 and 1123, than apply into the LCM equation.

GCF(1119,1123) = 1
LCM(1119,1123) = ( 1119 × 1123) / 1
LCM(1119,1123) = 1256637 / 1
LCM(1119,1123) = 1256637

Properties of LCM 1119 and 1123

(i) The LCM of 1123 and 1119 is associative

LCM of 1119 and 1123 = LCM of 1123 and 1119

Related Least Common Multiples of 1119

Related Least Common Multiples of 1123

Frequently Asked Questions on LCM of 1119 and 1123

1. What is the LCM of 1119 and 1123?

Answer: LCM of 1119 and 1123 is 1256637.

2. What are the Factors of 1119?

Answer: Factors of 1119 are 1, 3, 373, 1119. There are 4 integers that are factors of 1119. The greatest factor of 1119 is 1119.

3. What are the Factors of 1123?

Answer: Factors of 1123 are 1, 1123. There are 2 integers that are factors of 1123. The greatest factor of 1123 is 1123.

4. How to Find the LCM of 1119 and 1123?

Answer:

Least Common Multiple of 1119 and 1123 = 1256637

Step 1: Find the prime factorization of 1119

1119 = 3 x 373

Step 2: Find the prime factorization of 1123

1123 = 1123

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

LCM = 1256637 = 3 x 373 x 1123

Step 4: Therefore, the least common multiple of 1119 and 1123 is 1256637.