Least Common Multiple of 1130 and 1138

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 1138 the smallest integer that is 642970 that is divisible by both numbers.

Least Common Multiple (LCM) of 1130 and 1138 is 642970.

LCM(1130,1138) = 642970

LCM of 1130 and 1138

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

LCM of:
and

Least Common Multiple of 1130 and 1138

LCM of 1130 and 1138 is 642970

Least common multiple can be found by multiplying the highest exponent prime factors of 1130 and 1138. First we will calculate the prime factors of 1130 and 1138.

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 1138


2 1138
569 569
1

Prime factors of 1138 are 2,569. Prime factorization of 1138 in exponential form is:

1138 = 21×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 1130 and 1138.

LCM(1130,1138) = 21×51×1131×5691
LCM(1130,1138) = 642970

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 1138

List of positive integer factors of 1138 that divides 1138 without a remainder.

1, 2, 569, 1138

Least Common Multiple of 1130 and 1138 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 1138, than apply into the LCM equation.

GCF(1130,1138) = 2
LCM(1130,1138) = ( 1130 × 1138) / 2
LCM(1130,1138) = 1285940 / 2
LCM(1130,1138) = 642970

Properties of LCM 1130 and 1138

(i) The LCM of 1138 and 1130 is associative

LCM of 1130 and 1138 = LCM of 1138 and 1130

Related Least Common Multiples of 1130

Related Least Common Multiples of 1138

Frequently Asked Questions on LCM of 1130 and 1138

1. What is the LCM of 1130 and 1138?

Answer: LCM of 1130 and 1138 is 642970.

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 1138?

Answer: Factors of 1138 are 1, 2, 569, 1138. There are 4 integers that are factors of 1138. The greatest factor of 1138 is 1138.

4. How to Find the LCM of 1130 and 1138?

Answer:

Least Common Multiple of 1130 and 1138 = 642970

Step 1: Find the prime factorization of 1130

1130 = 2 x 5 x 113

Step 2: Find the prime factorization of 1138

1138 = 2 x 569

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

LCM = 642970 = 2 x 5 x 113 x 569

Step 4: Therefore, the least common multiple of 1130 and 1138 is 642970.