Least Common Multiple of 1174 and 1179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1174 and 1179 the smallest integer that is 1384146 that is divisible by both numbers.

Least Common Multiple (LCM) of 1174 and 1179 is 1384146.

LCM(1174,1179) = 1384146

LCM of 1174 and 1179

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

LCM of:
and

Least Common Multiple of 1174 and 1179

LCM of 1174 and 1179 is 1384146

Least common multiple can be found by multiplying the highest exponent prime factors of 1174 and 1179. First we will calculate the prime factors of 1174 and 1179.

Prime Factorization of 1174


2 1174
587 587
1

Prime factors of 1174 are 2,587. Prime factorization of 1174 in exponential form is:

1174 = 21×5871

Prime Factorization of 1179


3 1179
3 393
131 131
1

Prime factors of 1179 are 3,131. Prime factorization of 1179 in exponential form is:

1179 = 32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1174 and 1179.

LCM(1174,1179) = 21×32×1311×5871
LCM(1174,1179) = 1384146

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1, 2, 587, 1174

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1, 3, 9, 131, 393, 1179

Least Common Multiple of 1174 and 1179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1174 and 1179, than apply into the LCM equation.

GCF(1174,1179) = 1
LCM(1174,1179) = ( 1174 × 1179) / 1
LCM(1174,1179) = 1384146 / 1
LCM(1174,1179) = 1384146

Properties of LCM 1174 and 1179

(i) The LCM of 1179 and 1174 is associative

LCM of 1174 and 1179 = LCM of 1179 and 1174

Related Least Common Multiples of 1174

Related Least Common Multiples of 1179

Frequently Asked Questions on LCM of 1174 and 1179

1. What is the LCM of 1174 and 1179?

Answer: LCM of 1174 and 1179 is 1384146.

2. What are the Factors of 1174?

Answer: Factors of 1174 are 1, 2, 587, 1174. There are 4 integers that are factors of 1174. The greatest factor of 1174 is 1174.

3. What are the Factors of 1179?

Answer: Factors of 1179 are 1, 3, 9, 131, 393, 1179. There are 6 integers that are factors of 1179. The greatest factor of 1179 is 1179.

4. How to Find the LCM of 1174 and 1179?

Answer:

Least Common Multiple of 1174 and 1179 = 1384146

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1179

1179 = 3 x 3 x 131

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

LCM = 1384146 = 2 x 3 x 3 x 131 x 587

Step 4: Therefore, the least common multiple of 1174 and 1179 is 1384146.