Least Common Multiple of 1176 and 1182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1176 and 1182 the smallest integer that is 231672 that is divisible by both numbers.

Least Common Multiple (LCM) of 1176 and 1182 is 231672.

LCM(1176,1182) = 231672

LCM of 1176 and 1182

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

LCM of:
and

Least Common Multiple of 1176 and 1182

LCM of 1176 and 1182 is 231672

Least common multiple can be found by multiplying the highest exponent prime factors of 1176 and 1182. First we will calculate the prime factors of 1176 and 1182.

Prime Factorization of 1176


2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 1176 are 2, 3,7. Prime factorization of 1176 in exponential form is:

1176 = 23×31×72

Prime Factorization of 1182


2 1182
3 591
197 197
1

Prime factors of 1182 are 2, 3,197. Prime factorization of 1182 in exponential form is:

1182 = 21×31×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1176 and 1182.

LCM(1176,1182) = 23×31×72×1971
LCM(1176,1182) = 231672

Factors of 1176

List of positive integer factors of 1176 that divides 1176 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176

Factors of 1182

List of positive integer factors of 1182 that divides 1182 without a remainder.

1, 2, 3, 6, 197, 394, 591, 1182

Least Common Multiple of 1176 and 1182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1176 and 1182, than apply into the LCM equation.

GCF(1176,1182) = 6
LCM(1176,1182) = ( 1176 × 1182) / 6
LCM(1176,1182) = 1390032 / 6
LCM(1176,1182) = 231672

Properties of LCM 1176 and 1182

(i) The LCM of 1182 and 1176 is associative

LCM of 1176 and 1182 = LCM of 1182 and 1176

Related Least Common Multiples of 1176

Related Least Common Multiples of 1182

Frequently Asked Questions on LCM of 1176 and 1182

1. What is the LCM of 1176 and 1182?

Answer: LCM of 1176 and 1182 is 231672.

2. What are the Factors of 1176?

Answer: Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. There are 24 integers that are factors of 1176. The greatest factor of 1176 is 1176.

3. What are the Factors of 1182?

Answer: Factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182. There are 8 integers that are factors of 1182. The greatest factor of 1182 is 1182.

4. How to Find the LCM of 1176 and 1182?

Answer:

Least Common Multiple of 1176 and 1182 = 231672

Step 1: Find the prime factorization of 1176

1176 = 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 1182

1182 = 2 x 3 x 197

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

LCM = 231672 = 2 x 2 x 2 x 3 x 7 x 7 x 197

Step 4: Therefore, the least common multiple of 1176 and 1182 is 231672.