Least Common Multiple of 5122 and 5128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5122 and 5128 the smallest integer that is 13132808 that is divisible by both numbers.

Least Common Multiple (LCM) of 5122 and 5128 is 13132808.

LCM(5122,5128) = 13132808

LCM of 5122 and 5128

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

LCM of:
and

Least Common Multiple of 5122 and 5128

LCM of 5122 and 5128 is 13132808

Least common multiple can be found by multiplying the highest exponent prime factors of 5122 and 5128. First we will calculate the prime factors of 5122 and 5128.

Prime Factorization of 5122


2 5122
13 2561
197 197
1

Prime factors of 5122 are 2, 13,197. Prime factorization of 5122 in exponential form is:

5122 = 21×131×1971

Prime Factorization of 5128


2 5128
2 2564
2 1282
641 641
1

Prime factors of 5128 are 2,641. Prime factorization of 5128 in exponential form is:

5128 = 23×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 5122 and 5128.

LCM(5122,5128) = 23×131×1971×6411
LCM(5122,5128) = 13132808

Factors of 5122

List of positive integer factors of 5122 that divides 5122 without a remainder.

1, 2, 13, 26, 197, 394, 2561, 5122

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1, 2, 4, 8, 641, 1282, 2564, 5128

Least Common Multiple of 5122 and 5128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5122 and 5128, than apply into the LCM equation.

GCF(5122,5128) = 2
LCM(5122,5128) = ( 5122 × 5128) / 2
LCM(5122,5128) = 26265616 / 2
LCM(5122,5128) = 13132808

Properties of LCM 5122 and 5128

(i) The LCM of 5128 and 5122 is associative

LCM of 5122 and 5128 = LCM of 5128 and 5122

Related Least Common Multiples of 5122

Related Least Common Multiples of 5128

Frequently Asked Questions on LCM of 5122 and 5128

1. What is the LCM of 5122 and 5128?

Answer: LCM of 5122 and 5128 is 13132808.

2. What are the Factors of 5122?

Answer: Factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122. There are 8 integers that are factors of 5122. The greatest factor of 5122 is 5122.

3. What are the Factors of 5128?

Answer: Factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128. There are 8 integers that are factors of 5128. The greatest factor of 5128 is 5128.

4. How to Find the LCM of 5122 and 5128?

Answer:

Least Common Multiple of 5122 and 5128 = 13132808

Step 1: Find the prime factorization of 5122

5122 = 2 x 13 x 197

Step 2: Find the prime factorization of 5128

5128 = 2 x 2 x 2 x 641

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

LCM = 13132808 = 2 x 2 x 2 x 13 x 197 x 641

Step 4: Therefore, the least common multiple of 5122 and 5128 is 13132808.