Least Common Multiple of 1177 and 1180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1177 and 1180 the smallest integer that is 1388860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1177 and 1180 is 1388860.

LCM(1177,1180) = 1388860

LCM of 1177 and 1180

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

LCM of:
and

Least Common Multiple of 1177 and 1180

LCM of 1177 and 1180 is 1388860

Least common multiple can be found by multiplying the highest exponent prime factors of 1177 and 1180. First we will calculate the prime factors of 1177 and 1180.

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

Prime Factorization of 1180


2 1180
2 590
5 295
59 59
1

Prime factors of 1180 are 2, 5,59. Prime factorization of 1180 in exponential form is:

1180 = 22×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1177 and 1180.

LCM(1177,1180) = 22×51×111×591×1071
LCM(1177,1180) = 1388860

Factors of 1177

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

1, 11, 107, 1177

Factors of 1180

List of positive integer factors of 1180 that divides 1180 without a remainder.

1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

Least Common Multiple of 1177 and 1180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1177 and 1180, than apply into the LCM equation.

GCF(1177,1180) = 1
LCM(1177,1180) = ( 1177 × 1180) / 1
LCM(1177,1180) = 1388860 / 1
LCM(1177,1180) = 1388860

Properties of LCM 1177 and 1180

(i) The LCM of 1180 and 1177 is associative

LCM of 1177 and 1180 = LCM of 1180 and 1177

Related Least Common Multiples of 1177

Related Least Common Multiples of 1180

Frequently Asked Questions on LCM of 1177 and 1180

1. What is the LCM of 1177 and 1180?

Answer: LCM of 1177 and 1180 is 1388860.

2. 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.

3. What are the Factors of 1180?

Answer: Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180. There are 12 integers that are factors of 1180. The greatest factor of 1180 is 1180.

4. How to Find the LCM of 1177 and 1180?

Answer:

Least Common Multiple of 1177 and 1180 = 1388860

Step 1: Find the prime factorization of 1177

1177 = 11 x 107

Step 2: Find the prime factorization of 1180

1180 = 2 x 2 x 5 x 59

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

LCM = 1388860 = 2 x 2 x 5 x 11 x 59 x 107

Step 4: Therefore, the least common multiple of 1177 and 1180 is 1388860.