Least Common Multiple of 1113 and 1117

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 1117 the smallest integer that is 1243221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1113 and 1117 is 1243221.

LCM(1113,1117) = 1243221

LCM of 1113 and 1117

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

LCM of:
and

Least Common Multiple of 1113 and 1117

LCM of 1113 and 1117 is 1243221

Least common multiple can be found by multiplying the highest exponent prime factors of 1113 and 1117. First we will calculate the prime factors of 1113 and 1117.

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 1117


1117 1117
1

Prime factors of 1117 are 1117. Prime factorization of 1117 in exponential form is:

1117 = 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 1113 and 1117.

LCM(1113,1117) = 31×71×531×11171
LCM(1113,1117) = 1243221

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 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1, 1117

Least Common Multiple of 1113 and 1117 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 1117, than apply into the LCM equation.

GCF(1113,1117) = 1
LCM(1113,1117) = ( 1113 × 1117) / 1
LCM(1113,1117) = 1243221 / 1
LCM(1113,1117) = 1243221

Properties of LCM 1113 and 1117

(i) The LCM of 1117 and 1113 is associative

LCM of 1113 and 1117 = LCM of 1117 and 1113

Related Least Common Multiples of 1113

Related Least Common Multiples of 1117

Frequently Asked Questions on LCM of 1113 and 1117

1. What is the LCM of 1113 and 1117?

Answer: LCM of 1113 and 1117 is 1243221.

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 1117?

Answer: Factors of 1117 are 1, 1117. There are 2 integers that are factors of 1117. The greatest factor of 1117 is 1117.

4. How to Find the LCM of 1113 and 1117?

Answer:

Least Common Multiple of 1113 and 1117 = 1243221

Step 1: Find the prime factorization of 1113

1113 = 3 x 7 x 53

Step 2: Find the prime factorization of 1117

1117 = 1117

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

LCM = 1243221 = 3 x 7 x 53 x 1117

Step 4: Therefore, the least common multiple of 1113 and 1117 is 1243221.