Least Common Multiple of 1172 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 1172 and 1177 the smallest integer that is 1379444 that is divisible by both numbers.

Least Common Multiple (LCM) of 1172 and 1177 is 1379444.

LCM(1172,1177) = 1379444

LCM of 1172 and 1177

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

LCM of:
and

Least Common Multiple of 1172 and 1177

LCM of 1172 and 1177 is 1379444

Least common multiple can be found by multiplying the highest exponent prime factors of 1172 and 1177. First we will calculate the prime factors of 1172 and 1177.

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 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 1172 and 1177.

LCM(1172,1177) = 22×111×1071×2931
LCM(1172,1177) = 1379444

Factors of 1172

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

1, 2, 4, 293, 586, 1172

Factors of 1177

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

1, 11, 107, 1177

Least Common Multiple of 1172 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 1172 and 1177, than apply into the LCM equation.

GCF(1172,1177) = 1
LCM(1172,1177) = ( 1172 × 1177) / 1
LCM(1172,1177) = 1379444 / 1
LCM(1172,1177) = 1379444

Properties of LCM 1172 and 1177

(i) The LCM of 1177 and 1172 is associative

LCM of 1172 and 1177 = LCM of 1177 and 1172

Related Least Common Multiples of 1172

Related Least Common Multiples of 1177

Frequently Asked Questions on LCM of 1172 and 1177

1. What is the LCM of 1172 and 1177?

Answer: LCM of 1172 and 1177 is 1379444.

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 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 1172 and 1177?

Answer:

Least Common Multiple of 1172 and 1177 = 1379444

Step 1: Find the prime factorization of 1172

1172 = 2 x 2 x 293

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 = 1379444 = 2 x 2 x 11 x 107 x 293

Step 4: Therefore, the least common multiple of 1172 and 1177 is 1379444.