Least Common Multiple of 1172 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 1172 and 1178 the smallest integer that is 690308 that is divisible by both numbers.

Least Common Multiple (LCM) of 1172 and 1178 is 690308.

LCM(1172,1178) = 690308

LCM of 1172 and 1178

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

LCM of:
and

Least Common Multiple of 1172 and 1178

LCM of 1172 and 1178 is 690308

Least common multiple can be found by multiplying the highest exponent prime factors of 1172 and 1178. First we will calculate the prime factors of 1172 and 1178.

Prime Factorization of 1172


2 1172
2 586
293 293
1

Prime factors of 1172 are 2,293. Prime factorization of 1172 in exponential form is:

1172 = 22×2931

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 1172 and 1178.

LCM(1172,1178) = 22×191×311×2931
LCM(1172,1178) = 690308

Factors of 1172

List of positive integer factors of 1172 that divides 1172 without a remainder.

1, 2, 4, 293, 586, 1172

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 1172 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 1172 and 1178, than apply into the LCM equation.

GCF(1172,1178) = 2
LCM(1172,1178) = ( 1172 × 1178) / 2
LCM(1172,1178) = 1380616 / 2
LCM(1172,1178) = 690308

Properties of LCM 1172 and 1178

(i) The LCM of 1178 and 1172 is associative

LCM of 1172 and 1178 = LCM of 1178 and 1172

Related Least Common Multiples of 1172

Related Least Common Multiples of 1178

Frequently Asked Questions on LCM of 1172 and 1178

1. What is the LCM of 1172 and 1178?

Answer: LCM of 1172 and 1178 is 690308.

2. What are the Factors of 1172?

Answer: Factors of 1172 are 1, 2, 4, 293, 586, 1172. There are 6 integers that are factors of 1172. The greatest factor of 1172 is 1172.

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 1172 and 1178?

Answer:

Least Common Multiple of 1172 and 1178 = 690308

Step 1: Find the prime factorization of 1172

1172 = 2 x 2 x 293

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 = 690308 = 2 x 2 x 19 x 31 x 293

Step 4: Therefore, the least common multiple of 1172 and 1178 is 690308.