Least Common Multiple of 1187 and 1195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1187 and 1195 the smallest integer that is 1418465 that is divisible by both numbers.

Least Common Multiple (LCM) of 1187 and 1195 is 1418465.

LCM(1187,1195) = 1418465

LCM of 1187 and 1195

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

LCM of:
and

Least Common Multiple of 1187 and 1195

LCM of 1187 and 1195 is 1418465

Least common multiple can be found by multiplying the highest exponent prime factors of 1187 and 1195. First we will calculate the prime factors of 1187 and 1195.

Prime Factorization of 1187


1187 1187
1

Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:

1187 = 11871

Prime Factorization of 1195


5 1195
239 239
1

Prime factors of 1195 are 5,239. Prime factorization of 1195 in exponential form is:

1195 = 51×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 1187 and 1195.

LCM(1187,1195) = 51×2391×11871
LCM(1187,1195) = 1418465

Factors of 1187

List of positive integer factors of 1187 that divides 1187 without a remainder.

1, 1187

Factors of 1195

List of positive integer factors of 1195 that divides 1195 without a remainder.

1, 5, 239, 1195

Least Common Multiple of 1187 and 1195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1187 and 1195, than apply into the LCM equation.

GCF(1187,1195) = 1
LCM(1187,1195) = ( 1187 × 1195) / 1
LCM(1187,1195) = 1418465 / 1
LCM(1187,1195) = 1418465

Properties of LCM 1187 and 1195

(i) The LCM of 1195 and 1187 is associative

LCM of 1187 and 1195 = LCM of 1195 and 1187

Related Least Common Multiples of 1187

Related Least Common Multiples of 1195

Frequently Asked Questions on LCM of 1187 and 1195

1. What is the LCM of 1187 and 1195?

Answer: LCM of 1187 and 1195 is 1418465.

2. What are the Factors of 1187?

Answer: Factors of 1187 are 1, 1187. There are 2 integers that are factors of 1187. The greatest factor of 1187 is 1187.

3. What are the Factors of 1195?

Answer: Factors of 1195 are 1, 5, 239, 1195. There are 4 integers that are factors of 1195. The greatest factor of 1195 is 1195.

4. How to Find the LCM of 1187 and 1195?

Answer:

Least Common Multiple of 1187 and 1195 = 1418465

Step 1: Find the prime factorization of 1187

1187 = 1187

Step 2: Find the prime factorization of 1195

1195 = 5 x 239

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

LCM = 1418465 = 5 x 239 x 1187

Step 4: Therefore, the least common multiple of 1187 and 1195 is 1418465.