Least Common Multiple of 1187 and 1192

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 1192 the smallest integer that is 1414904 that is divisible by both numbers.

Least Common Multiple (LCM) of 1187 and 1192 is 1414904.

LCM(1187,1192) = 1414904

LCM of 1187 and 1192

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

LCM of:
and

Least Common Multiple of 1187 and 1192

LCM of 1187 and 1192 is 1414904

Least common multiple can be found by multiplying the highest exponent prime factors of 1187 and 1192. First we will calculate the prime factors of 1187 and 1192.

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 1192


2 1192
2 596
2 298
149 149
1

Prime factors of 1192 are 2,149. Prime factorization of 1192 in exponential form is:

1192 = 23×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1187 and 1192.

LCM(1187,1192) = 23×1491×11871
LCM(1187,1192) = 1414904

Factors of 1187

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

1, 1187

Factors of 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1, 2, 4, 8, 149, 298, 596, 1192

Least Common Multiple of 1187 and 1192 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 1192, than apply into the LCM equation.

GCF(1187,1192) = 1
LCM(1187,1192) = ( 1187 × 1192) / 1
LCM(1187,1192) = 1414904 / 1
LCM(1187,1192) = 1414904

Properties of LCM 1187 and 1192

(i) The LCM of 1192 and 1187 is associative

LCM of 1187 and 1192 = LCM of 1192 and 1187

Related Least Common Multiples of 1187

Related Least Common Multiples of 1192

Frequently Asked Questions on LCM of 1187 and 1192

1. What is the LCM of 1187 and 1192?

Answer: LCM of 1187 and 1192 is 1414904.

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 1192?

Answer: Factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192. There are 8 integers that are factors of 1192. The greatest factor of 1192 is 1192.

4. How to Find the LCM of 1187 and 1192?

Answer:

Least Common Multiple of 1187 and 1192 = 1414904

Step 1: Find the prime factorization of 1187

1187 = 1187

Step 2: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

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

LCM = 1414904 = 2 x 2 x 2 x 149 x 1187

Step 4: Therefore, the least common multiple of 1187 and 1192 is 1414904.