Least Common Multiple of 1117 and 1124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1117 and 1124 the smallest integer that is 1255508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1117 and 1124 is 1255508.

LCM(1117,1124) = 1255508

LCM of 1117 and 1124

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

LCM of:
and

Least Common Multiple of 1117 and 1124

LCM of 1117 and 1124 is 1255508

Least common multiple can be found by multiplying the highest exponent prime factors of 1117 and 1124. First we will calculate the prime factors of 1117 and 1124.

Prime Factorization of 1117


1117 1117
1

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

1117 = 11171

Prime Factorization of 1124


2 1124
2 562
281 281
1

Prime factors of 1124 are 2,281. Prime factorization of 1124 in exponential form is:

1124 = 22×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 1117 and 1124.

LCM(1117,1124) = 22×2811×11171
LCM(1117,1124) = 1255508

Factors of 1117

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

1, 1117

Factors of 1124

List of positive integer factors of 1124 that divides 1124 without a remainder.

1, 2, 4, 281, 562, 1124

Least Common Multiple of 1117 and 1124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1117 and 1124, than apply into the LCM equation.

GCF(1117,1124) = 1
LCM(1117,1124) = ( 1117 × 1124) / 1
LCM(1117,1124) = 1255508 / 1
LCM(1117,1124) = 1255508

Properties of LCM 1117 and 1124

(i) The LCM of 1124 and 1117 is associative

LCM of 1117 and 1124 = LCM of 1124 and 1117

Related Least Common Multiples of 1117

Related Least Common Multiples of 1124

Frequently Asked Questions on LCM of 1117 and 1124

1. What is the LCM of 1117 and 1124?

Answer: LCM of 1117 and 1124 is 1255508.

2. 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.

3. What are the Factors of 1124?

Answer: Factors of 1124 are 1, 2, 4, 281, 562, 1124. There are 6 integers that are factors of 1124. The greatest factor of 1124 is 1124.

4. How to Find the LCM of 1117 and 1124?

Answer:

Least Common Multiple of 1117 and 1124 = 1255508

Step 1: Find the prime factorization of 1117

1117 = 1117

Step 2: Find the prime factorization of 1124

1124 = 2 x 2 x 281

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

LCM = 1255508 = 2 x 2 x 281 x 1117

Step 4: Therefore, the least common multiple of 1117 and 1124 is 1255508.