Least Common Multiple of 2260 and 2264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2260 and 2264 the smallest integer that is 1279160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2260 and 2264 is 1279160.

LCM(2260,2264) = 1279160

LCM of 2260 and 2264

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

LCM of:
and

Least Common Multiple of 2260 and 2264

LCM of 2260 and 2264 is 1279160

Least common multiple can be found by multiplying the highest exponent prime factors of 2260 and 2264. First we will calculate the prime factors of 2260 and 2264.

Prime Factorization of 2260


2 2260
2 1130
5 565
113 113
1

Prime factors of 2260 are 2, 5,113. Prime factorization of 2260 in exponential form is:

2260 = 22×51×1131

Prime Factorization of 2264


2 2264
2 1132
2 566
283 283
1

Prime factors of 2264 are 2,283. Prime factorization of 2264 in exponential form is:

2264 = 23×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 2260 and 2264.

LCM(2260,2264) = 23×51×1131×2831
LCM(2260,2264) = 1279160

Factors of 2260

List of positive integer factors of 2260 that divides 2260 without a remainder.

1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130, 2260

Factors of 2264

List of positive integer factors of 2264 that divides 2264 without a remainder.

1, 2, 4, 8, 283, 566, 1132, 2264

Least Common Multiple of 2260 and 2264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2260 and 2264, than apply into the LCM equation.

GCF(2260,2264) = 4
LCM(2260,2264) = ( 2260 × 2264) / 4
LCM(2260,2264) = 5116640 / 4
LCM(2260,2264) = 1279160

Properties of LCM 2260 and 2264

(i) The LCM of 2264 and 2260 is associative

LCM of 2260 and 2264 = LCM of 2264 and 2260

Related Least Common Multiples of 2260

Related Least Common Multiples of 2264

Frequently Asked Questions on LCM of 2260 and 2264

1. What is the LCM of 2260 and 2264?

Answer: LCM of 2260 and 2264 is 1279160.

2. What are the Factors of 2260?

Answer: Factors of 2260 are 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130, 2260. There are 12 integers that are factors of 2260. The greatest factor of 2260 is 2260.

3. What are the Factors of 2264?

Answer: Factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264. There are 8 integers that are factors of 2264. The greatest factor of 2264 is 2264.

4. How to Find the LCM of 2260 and 2264?

Answer:

Least Common Multiple of 2260 and 2264 = 1279160

Step 1: Find the prime factorization of 2260

2260 = 2 x 2 x 5 x 113

Step 2: Find the prime factorization of 2264

2264 = 2 x 2 x 2 x 283

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

LCM = 1279160 = 2 x 2 x 2 x 5 x 113 x 283

Step 4: Therefore, the least common multiple of 2260 and 2264 is 1279160.