Least Common Multiple of 1179 and 1187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1179 and 1187 the smallest integer that is 1399473 that is divisible by both numbers.

Least Common Multiple (LCM) of 1179 and 1187 is 1399473.

LCM(1179,1187) = 1399473

LCM of 1179 and 1187

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

LCM of:
and

Least Common Multiple of 1179 and 1187

LCM of 1179 and 1187 is 1399473

Least common multiple can be found by multiplying the highest exponent prime factors of 1179 and 1187. First we will calculate the prime factors of 1179 and 1187.

Prime Factorization of 1179


3 1179
3 393
131 131
1

Prime factors of 1179 are 3,131. Prime factorization of 1179 in exponential form is:

1179 = 32×1311

Prime Factorization of 1187


1187 1187
1

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

1187 = 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 1179 and 1187.

LCM(1179,1187) = 32×1311×11871
LCM(1179,1187) = 1399473

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1, 3, 9, 131, 393, 1179

Factors of 1187

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

1, 1187

Least Common Multiple of 1179 and 1187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1179 and 1187, than apply into the LCM equation.

GCF(1179,1187) = 1
LCM(1179,1187) = ( 1179 × 1187) / 1
LCM(1179,1187) = 1399473 / 1
LCM(1179,1187) = 1399473

Properties of LCM 1179 and 1187

(i) The LCM of 1187 and 1179 is associative

LCM of 1179 and 1187 = LCM of 1187 and 1179

Related Least Common Multiples of 1179

Related Least Common Multiples of 1187

Frequently Asked Questions on LCM of 1179 and 1187

1. What is the LCM of 1179 and 1187?

Answer: LCM of 1179 and 1187 is 1399473.

2. What are the Factors of 1179?

Answer: Factors of 1179 are 1, 3, 9, 131, 393, 1179. There are 6 integers that are factors of 1179. The greatest factor of 1179 is 1179.

3. 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.

4. How to Find the LCM of 1179 and 1187?

Answer:

Least Common Multiple of 1179 and 1187 = 1399473

Step 1: Find the prime factorization of 1179

1179 = 3 x 3 x 131

Step 2: Find the prime factorization of 1187

1187 = 1187

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

LCM = 1399473 = 3 x 3 x 131 x 1187

Step 4: Therefore, the least common multiple of 1179 and 1187 is 1399473.