Least Common Multiple of 1174 and 1175

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 1175 the smallest integer that is 1379450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1174 and 1175 is 1379450.

LCM(1174,1175) = 1379450

LCM of 1174 and 1175

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

LCM of:
and

Least Common Multiple of 1174 and 1175

LCM of 1174 and 1175 is 1379450

Least common multiple can be found by multiplying the highest exponent prime factors of 1174 and 1175. First we will calculate the prime factors of 1174 and 1175.

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 1175


5 1175
5 235
47 47
1

Prime factors of 1175 are 5,47. Prime factorization of 1175 in exponential form is:

1175 = 52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1174 and 1175.

LCM(1174,1175) = 21×52×471×5871
LCM(1174,1175) = 1379450

Factors of 1174

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

1, 2, 587, 1174

Factors of 1175

List of positive integer factors of 1175 that divides 1175 without a remainder.

1, 5, 25, 47, 235, 1175

Least Common Multiple of 1174 and 1175 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 1175, than apply into the LCM equation.

GCF(1174,1175) = 1
LCM(1174,1175) = ( 1174 × 1175) / 1
LCM(1174,1175) = 1379450 / 1
LCM(1174,1175) = 1379450

Properties of LCM 1174 and 1175

(i) The LCM of 1175 and 1174 is associative

LCM of 1174 and 1175 = LCM of 1175 and 1174

Related Least Common Multiples of 1174

Related Least Common Multiples of 1175

Frequently Asked Questions on LCM of 1174 and 1175

1. What is the LCM of 1174 and 1175?

Answer: LCM of 1174 and 1175 is 1379450.

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 1175?

Answer: Factors of 1175 are 1, 5, 25, 47, 235, 1175. There are 6 integers that are factors of 1175. The greatest factor of 1175 is 1175.

4. How to Find the LCM of 1174 and 1175?

Answer:

Least Common Multiple of 1174 and 1175 = 1379450

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1175

1175 = 5 x 5 x 47

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

LCM = 1379450 = 2 x 5 x 5 x 47 x 587

Step 4: Therefore, the least common multiple of 1174 and 1175 is 1379450.