Least Common Multiple of 5122 and 5126

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 5126 the smallest integer that is 13127686 that is divisible by both numbers.

Least Common Multiple (LCM) of 5122 and 5126 is 13127686.

LCM(5122,5126) = 13127686

LCM of 5122 and 5126

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

LCM of:
and

Least Common Multiple of 5122 and 5126

LCM of 5122 and 5126 is 13127686

Least common multiple can be found by multiplying the highest exponent prime factors of 5122 and 5126. First we will calculate the prime factors of 5122 and 5126.

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 5126


2 5126
11 2563
233 233
1

Prime factors of 5126 are 2, 11,233. Prime factorization of 5126 in exponential form is:

5126 = 21×111×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 5122 and 5126.

LCM(5122,5126) = 21×111×131×1971×2331
LCM(5122,5126) = 13127686

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 5126

List of positive integer factors of 5126 that divides 5126 without a remainder.

1, 2, 11, 22, 233, 466, 2563, 5126

Least Common Multiple of 5122 and 5126 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 5126, than apply into the LCM equation.

GCF(5122,5126) = 2
LCM(5122,5126) = ( 5122 × 5126) / 2
LCM(5122,5126) = 26255372 / 2
LCM(5122,5126) = 13127686

Properties of LCM 5122 and 5126

(i) The LCM of 5126 and 5122 is associative

LCM of 5122 and 5126 = LCM of 5126 and 5122

Related Least Common Multiples of 5122

Related Least Common Multiples of 5126

Frequently Asked Questions on LCM of 5122 and 5126

1. What is the LCM of 5122 and 5126?

Answer: LCM of 5122 and 5126 is 13127686.

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 5126?

Answer: Factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126. There are 8 integers that are factors of 5126. The greatest factor of 5126 is 5126.

4. How to Find the LCM of 5122 and 5126?

Answer:

Least Common Multiple of 5122 and 5126 = 13127686

Step 1: Find the prime factorization of 5122

5122 = 2 x 13 x 197

Step 2: Find the prime factorization of 5126

5126 = 2 x 11 x 233

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

LCM = 13127686 = 2 x 11 x 13 x 197 x 233

Step 4: Therefore, the least common multiple of 5122 and 5126 is 13127686.