Least Common Multiple of 1185 and 1193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1185 and 1193 the smallest integer that is 1413705 that is divisible by both numbers.

Least Common Multiple (LCM) of 1185 and 1193 is 1413705.

LCM(1185,1193) = 1413705

LCM of 1185 and 1193

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

LCM of:
and

Least Common Multiple of 1185 and 1193

LCM of 1185 and 1193 is 1413705

Least common multiple can be found by multiplying the highest exponent prime factors of 1185 and 1193. First we will calculate the prime factors of 1185 and 1193.

Prime Factorization of 1185


3 1185
5 395
79 79
1

Prime factors of 1185 are 3, 5,79. Prime factorization of 1185 in exponential form is:

1185 = 31×51×791

Prime Factorization of 1193


1193 1193
1

Prime factors of 1193 are 1193. Prime factorization of 1193 in exponential form is:

1193 = 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 1185 and 1193.

LCM(1185,1193) = 31×51×791×11931
LCM(1185,1193) = 1413705

Factors of 1185

List of positive integer factors of 1185 that divides 1185 without a remainder.

1, 3, 5, 15, 79, 237, 395, 1185

Factors of 1193

List of positive integer factors of 1193 that divides 1193 without a remainder.

1, 1193

Least Common Multiple of 1185 and 1193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1185 and 1193, than apply into the LCM equation.

GCF(1185,1193) = 1
LCM(1185,1193) = ( 1185 × 1193) / 1
LCM(1185,1193) = 1413705 / 1
LCM(1185,1193) = 1413705

Properties of LCM 1185 and 1193

(i) The LCM of 1193 and 1185 is associative

LCM of 1185 and 1193 = LCM of 1193 and 1185

Related Least Common Multiples of 1185

Related Least Common Multiples of 1193

Frequently Asked Questions on LCM of 1185 and 1193

1. What is the LCM of 1185 and 1193?

Answer: LCM of 1185 and 1193 is 1413705.

2. What are the Factors of 1185?

Answer: Factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185. There are 8 integers that are factors of 1185. The greatest factor of 1185 is 1185.

3. What are the Factors of 1193?

Answer: Factors of 1193 are 1, 1193. There are 2 integers that are factors of 1193. The greatest factor of 1193 is 1193.

4. How to Find the LCM of 1185 and 1193?

Answer:

Least Common Multiple of 1185 and 1193 = 1413705

Step 1: Find the prime factorization of 1185

1185 = 3 x 5 x 79

Step 2: Find the prime factorization of 1193

1193 = 1193

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

LCM = 1413705 = 3 x 5 x 79 x 1193

Step 4: Therefore, the least common multiple of 1185 and 1193 is 1413705.