Least Common Multiple of 1167 and 1174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1167 and 1174 the smallest integer that is 1370058 that is divisible by both numbers.

Least Common Multiple (LCM) of 1167 and 1174 is 1370058.

LCM(1167,1174) = 1370058

LCM of 1167 and 1174

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

LCM of:
and

Least Common Multiple of 1167 and 1174

LCM of 1167 and 1174 is 1370058

Least common multiple can be found by multiplying the highest exponent prime factors of 1167 and 1174. First we will calculate the prime factors of 1167 and 1174.

Prime Factorization of 1167


3 1167
389 389
1

Prime factors of 1167 are 3,389. Prime factorization of 1167 in exponential form is:

1167 = 31×3891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1167 and 1174.

LCM(1167,1174) = 21×31×3891×5871
LCM(1167,1174) = 1370058

Factors of 1167

List of positive integer factors of 1167 that divides 1167 without a remainder.

1, 3, 389, 1167

Factors of 1174

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

1, 2, 587, 1174

Least Common Multiple of 1167 and 1174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1167 and 1174, than apply into the LCM equation.

GCF(1167,1174) = 1
LCM(1167,1174) = ( 1167 × 1174) / 1
LCM(1167,1174) = 1370058 / 1
LCM(1167,1174) = 1370058

Properties of LCM 1167 and 1174

(i) The LCM of 1174 and 1167 is associative

LCM of 1167 and 1174 = LCM of 1174 and 1167

Related Least Common Multiples of 1167

Related Least Common Multiples of 1174

Frequently Asked Questions on LCM of 1167 and 1174

1. What is the LCM of 1167 and 1174?

Answer: LCM of 1167 and 1174 is 1370058.

2. What are the Factors of 1167?

Answer: Factors of 1167 are 1, 3, 389, 1167. There are 4 integers that are factors of 1167. The greatest factor of 1167 is 1167.

3. 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.

4. How to Find the LCM of 1167 and 1174?

Answer:

Least Common Multiple of 1167 and 1174 = 1370058

Step 1: Find the prime factorization of 1167

1167 = 3 x 389

Step 2: Find the prime factorization of 1174

1174 = 2 x 587

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

LCM = 1370058 = 2 x 3 x 389 x 587

Step 4: Therefore, the least common multiple of 1167 and 1174 is 1370058.