Least Common Multiple of 1176 and 1178

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 1178 the smallest integer that is 692664 that is divisible by both numbers.

Least Common Multiple (LCM) of 1176 and 1178 is 692664.

LCM(1176,1178) = 692664

LCM of 1176 and 1178

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

LCM of:
and

Least Common Multiple of 1176 and 1178

LCM of 1176 and 1178 is 692664

Least common multiple can be found by multiplying the highest exponent prime factors of 1176 and 1178. First we will calculate the prime factors of 1176 and 1178.

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 1178


2 1178
19 589
31 31
1

Prime factors of 1178 are 2, 19,31. Prime factorization of 1178 in exponential form is:

1178 = 21×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1176 and 1178.

LCM(1176,1178) = 23×31×72×191×311
LCM(1176,1178) = 692664

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 1178

List of positive integer factors of 1178 that divides 1178 without a remainder.

1, 2, 19, 31, 38, 62, 589, 1178

Least Common Multiple of 1176 and 1178 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 1178, than apply into the LCM equation.

GCF(1176,1178) = 2
LCM(1176,1178) = ( 1176 × 1178) / 2
LCM(1176,1178) = 1385328 / 2
LCM(1176,1178) = 692664

Properties of LCM 1176 and 1178

(i) The LCM of 1178 and 1176 is associative

LCM of 1176 and 1178 = LCM of 1178 and 1176

Related Least Common Multiples of 1176

Related Least Common Multiples of 1178

Frequently Asked Questions on LCM of 1176 and 1178

1. What is the LCM of 1176 and 1178?

Answer: LCM of 1176 and 1178 is 692664.

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 1178?

Answer: Factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. There are 8 integers that are factors of 1178. The greatest factor of 1178 is 1178.

4. How to Find the LCM of 1176 and 1178?

Answer:

Least Common Multiple of 1176 and 1178 = 692664

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 1178

1178 = 2 x 19 x 31

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

LCM = 692664 = 2 x 2 x 2 x 3 x 7 x 7 x 19 x 31

Step 4: Therefore, the least common multiple of 1176 and 1178 is 692664.