Least Common Multiple of 1170 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 1170 and 1177 the smallest integer that is 1377090 that is divisible by both numbers.

Least Common Multiple (LCM) of 1170 and 1177 is 1377090.

LCM(1170,1177) = 1377090

LCM of 1170 and 1177

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

LCM of:
and

Least Common Multiple of 1170 and 1177

LCM of 1170 and 1177 is 1377090

Least common multiple can be found by multiplying the highest exponent prime factors of 1170 and 1177. First we will calculate the prime factors of 1170 and 1177.

Prime Factorization of 1170


2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 1170 are 2, 3, 5,13. Prime factorization of 1170 in exponential form is:

1170 = 21×32×51×131

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 1170 and 1177.

LCM(1170,1177) = 21×32×51×111×131×1071
LCM(1170,1177) = 1377090

Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170

Factors of 1177

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

1, 11, 107, 1177

Least Common Multiple of 1170 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 1170 and 1177, than apply into the LCM equation.

GCF(1170,1177) = 1
LCM(1170,1177) = ( 1170 × 1177) / 1
LCM(1170,1177) = 1377090 / 1
LCM(1170,1177) = 1377090

Properties of LCM 1170 and 1177

(i) The LCM of 1177 and 1170 is associative

LCM of 1170 and 1177 = LCM of 1177 and 1170

Related Least Common Multiples of 1170

Related Least Common Multiples of 1177

Frequently Asked Questions on LCM of 1170 and 1177

1. What is the LCM of 1170 and 1177?

Answer: LCM of 1170 and 1177 is 1377090.

2. What are the Factors of 1170?

Answer: Factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170. There are 24 integers that are factors of 1170. The greatest factor of 1170 is 1170.

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 1170 and 1177?

Answer:

Least Common Multiple of 1170 and 1177 = 1377090

Step 1: Find the prime factorization of 1170

1170 = 2 x 3 x 3 x 5 x 13

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 = 1377090 = 2 x 3 x 3 x 5 x 11 x 13 x 107

Step 4: Therefore, the least common multiple of 1170 and 1177 is 1377090.