Least Common Multiple of 1174 and 1177

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 1177 the smallest integer that is 1381798 that is divisible by both numbers.

Least Common Multiple (LCM) of 1174 and 1177 is 1381798.

LCM(1174,1177) = 1381798

LCM of 1174 and 1177

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

LCM of:
and

Least Common Multiple of 1174 and 1177

LCM of 1174 and 1177 is 1381798

Least common multiple can be found by multiplying the highest exponent prime factors of 1174 and 1177. First we will calculate the prime factors of 1174 and 1177.

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 1177


11 1177
107 107
1

Prime factors of 1177 are 11,107. Prime factorization of 1177 in exponential form is:

1177 = 111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1174 and 1177.

LCM(1174,1177) = 21×111×1071×5871
LCM(1174,1177) = 1381798

Factors of 1174

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

1, 2, 587, 1174

Factors of 1177

List of positive integer factors of 1177 that divides 1177 without a remainder.

1, 11, 107, 1177

Least Common Multiple of 1174 and 1177 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 1177, than apply into the LCM equation.

GCF(1174,1177) = 1
LCM(1174,1177) = ( 1174 × 1177) / 1
LCM(1174,1177) = 1381798 / 1
LCM(1174,1177) = 1381798

Properties of LCM 1174 and 1177

(i) The LCM of 1177 and 1174 is associative

LCM of 1174 and 1177 = LCM of 1177 and 1174

Related Least Common Multiples of 1174

Related Least Common Multiples of 1177

Frequently Asked Questions on LCM of 1174 and 1177

1. What is the LCM of 1174 and 1177?

Answer: LCM of 1174 and 1177 is 1381798.

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 1177?

Answer: Factors of 1177 are 1, 11, 107, 1177. There are 4 integers that are factors of 1177. The greatest factor of 1177 is 1177.

4. How to Find the LCM of 1174 and 1177?

Answer:

Least Common Multiple of 1174 and 1177 = 1381798

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1177

1177 = 11 x 107

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

LCM = 1381798 = 2 x 11 x 107 x 587

Step 4: Therefore, the least common multiple of 1174 and 1177 is 1381798.