Least Common Multiple of 1113 and 1119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1113 and 1119 the smallest integer that is 415149 that is divisible by both numbers.

Least Common Multiple (LCM) of 1113 and 1119 is 415149.

LCM(1113,1119) = 415149

LCM of 1113 and 1119

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

LCM of:
and

Least Common Multiple of 1113 and 1119

LCM of 1113 and 1119 is 415149

Least common multiple can be found by multiplying the highest exponent prime factors of 1113 and 1119. First we will calculate the prime factors of 1113 and 1119.

Prime Factorization of 1113


3 1113
7 371
53 53
1

Prime factors of 1113 are 3, 7,53. Prime factorization of 1113 in exponential form is:

1113 = 31×71×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1113 and 1119.

LCM(1113,1119) = 31×71×531×3731
LCM(1113,1119) = 415149

Factors of 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1, 3, 7, 21, 53, 159, 371, 1113

Factors of 1119

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

1, 3, 373, 1119

Least Common Multiple of 1113 and 1119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1113 and 1119, than apply into the LCM equation.

GCF(1113,1119) = 3
LCM(1113,1119) = ( 1113 × 1119) / 3
LCM(1113,1119) = 1245447 / 3
LCM(1113,1119) = 415149

Properties of LCM 1113 and 1119

(i) The LCM of 1119 and 1113 is associative

LCM of 1113 and 1119 = LCM of 1119 and 1113

Related Least Common Multiples of 1113

Related Least Common Multiples of 1119

Frequently Asked Questions on LCM of 1113 and 1119

1. What is the LCM of 1113 and 1119?

Answer: LCM of 1113 and 1119 is 415149.

2. What are the Factors of 1113?

Answer: Factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113. There are 8 integers that are factors of 1113. The greatest factor of 1113 is 1113.

3. 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.

4. How to Find the LCM of 1113 and 1119?

Answer:

Least Common Multiple of 1113 and 1119 = 415149

Step 1: Find the prime factorization of 1113

1113 = 3 x 7 x 53

Step 2: Find the prime factorization of 1119

1119 = 3 x 373

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

LCM = 415149 = 3 x 7 x 53 x 373

Step 4: Therefore, the least common multiple of 1113 and 1119 is 415149.