Least Common Multiple of 1174 and 1176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1174 and 1176 the smallest integer that is 690312 that is divisible by both numbers.

Least Common Multiple (LCM) of 1174 and 1176 is 690312.

LCM(1174,1176) = 690312

LCM of 1174 and 1176

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

LCM of:
and

Least Common Multiple of 1174 and 1176

LCM of 1174 and 1176 is 690312

Least common multiple can be found by multiplying the highest exponent prime factors of 1174 and 1176. First we will calculate the prime factors of 1174 and 1176.

Prime Factorization of 1174


2 1174
587 587
1

Prime factors of 1174 are 2,587. Prime factorization of 1174 in exponential form is:

1174 = 21×5871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1174 and 1176.

LCM(1174,1176) = 23×31×72×5871
LCM(1174,1176) = 690312

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1, 2, 587, 1174

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

Least Common Multiple of 1174 and 1176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1174 and 1176, than apply into the LCM equation.

GCF(1174,1176) = 2
LCM(1174,1176) = ( 1174 × 1176) / 2
LCM(1174,1176) = 1380624 / 2
LCM(1174,1176) = 690312

Properties of LCM 1174 and 1176

(i) The LCM of 1176 and 1174 is associative

LCM of 1174 and 1176 = LCM of 1176 and 1174

Related Least Common Multiples of 1174

Related Least Common Multiples of 1176

Frequently Asked Questions on LCM of 1174 and 1176

1. What is the LCM of 1174 and 1176?

Answer: LCM of 1174 and 1176 is 690312.

2. What are the Factors of 1174?

Answer: Factors of 1174 are 1, 2, 587, 1174. There are 4 integers that are factors of 1174. The greatest factor of 1174 is 1174.

3. 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.

4. How to Find the LCM of 1174 and 1176?

Answer:

Least Common Multiple of 1174 and 1176 = 690312

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

Step 2: Find the prime factorization of 1176

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

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

LCM = 690312 = 2 x 2 x 2 x 3 x 7 x 7 x 587

Step 4: Therefore, the least common multiple of 1174 and 1176 is 690312.