Least Common Multiple of 1130 and 1134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1130 and 1134 the smallest integer that is 640710 that is divisible by both numbers.

Least Common Multiple (LCM) of 1130 and 1134 is 640710.

LCM(1130,1134) = 640710

LCM of 1130 and 1134

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

LCM of:
and

Least Common Multiple of 1130 and 1134

LCM of 1130 and 1134 is 640710

Least common multiple can be found by multiplying the highest exponent prime factors of 1130 and 1134. First we will calculate the prime factors of 1130 and 1134.

Prime Factorization of 1130


2 1130
5 565
113 113
1

Prime factors of 1130 are 2, 5,113. Prime factorization of 1130 in exponential form is:

1130 = 21×51×1131

Prime Factorization of 1134


2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1134 are 2, 3,7. Prime factorization of 1134 in exponential form is:

1134 = 21×34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1130 and 1134.

LCM(1130,1134) = 21×34×51×71×1131
LCM(1130,1134) = 640710

Factors of 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1, 2, 5, 10, 113, 226, 565, 1130

Factors of 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134

Least Common Multiple of 1130 and 1134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1130 and 1134, than apply into the LCM equation.

GCF(1130,1134) = 2
LCM(1130,1134) = ( 1130 × 1134) / 2
LCM(1130,1134) = 1281420 / 2
LCM(1130,1134) = 640710

Properties of LCM 1130 and 1134

(i) The LCM of 1134 and 1130 is associative

LCM of 1130 and 1134 = LCM of 1134 and 1130

Related Least Common Multiples of 1130

Related Least Common Multiples of 1134

Frequently Asked Questions on LCM of 1130 and 1134

1. What is the LCM of 1130 and 1134?

Answer: LCM of 1130 and 1134 is 640710.

2. What are the Factors of 1130?

Answer: Factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130. There are 8 integers that are factors of 1130. The greatest factor of 1130 is 1130.

3. What are the Factors of 1134?

Answer: Factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. There are 20 integers that are factors of 1134. The greatest factor of 1134 is 1134.

4. How to Find the LCM of 1130 and 1134?

Answer:

Least Common Multiple of 1130 and 1134 = 640710

Step 1: Find the prime factorization of 1130

1130 = 2 x 5 x 113

Step 2: Find the prime factorization of 1134

1134 = 2 x 3 x 3 x 3 x 3 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 = 640710 = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 113

Step 4: Therefore, the least common multiple of 1130 and 1134 is 640710.