Least Common Multiple of 1174 and 1178

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 1178 the smallest integer that is 691486 that is divisible by both numbers.

Least Common Multiple (LCM) of 1174 and 1178 is 691486.

LCM(1174,1178) = 691486

LCM of 1174 and 1178

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

LCM of:
and

Least Common Multiple of 1174 and 1178

LCM of 1174 and 1178 is 691486

Least common multiple can be found by multiplying the highest exponent prime factors of 1174 and 1178. First we will calculate the prime factors of 1174 and 1178.

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 1178


2 1178
19 589
31 31
1

Prime factors of 1178 are 2, 19,31. Prime factorization of 1178 in exponential form is:

1178 = 21×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1174 and 1178.

LCM(1174,1178) = 21×191×311×5871
LCM(1174,1178) = 691486

Factors of 1174

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

1, 2, 587, 1174

Factors of 1178

List of positive integer factors of 1178 that divides 1178 without a remainder.

1, 2, 19, 31, 38, 62, 589, 1178

Least Common Multiple of 1174 and 1178 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 1178, than apply into the LCM equation.

GCF(1174,1178) = 2
LCM(1174,1178) = ( 1174 × 1178) / 2
LCM(1174,1178) = 1382972 / 2
LCM(1174,1178) = 691486

Properties of LCM 1174 and 1178

(i) The LCM of 1178 and 1174 is associative

LCM of 1174 and 1178 = LCM of 1178 and 1174

Related Least Common Multiples of 1174

Related Least Common Multiples of 1178

Frequently Asked Questions on LCM of 1174 and 1178

1. What is the LCM of 1174 and 1178?

Answer: LCM of 1174 and 1178 is 691486.

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 1178?

Answer: Factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. There are 8 integers that are factors of 1178. The greatest factor of 1178 is 1178.

4. How to Find the LCM of 1174 and 1178?

Answer:

Least Common Multiple of 1174 and 1178 = 691486

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1178

1178 = 2 x 19 x 31

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

LCM = 691486 = 2 x 19 x 31 x 587

Step 4: Therefore, the least common multiple of 1174 and 1178 is 691486.