Least Common Multiple of 3122 and 3126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3122 and 3126 the smallest integer that is 4879686 that is divisible by both numbers.

Least Common Multiple (LCM) of 3122 and 3126 is 4879686.

LCM(3122,3126) = 4879686

LCM of 3122 and 3126

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

LCM of:
and

Least Common Multiple of 3122 and 3126

LCM of 3122 and 3126 is 4879686

Least common multiple can be found by multiplying the highest exponent prime factors of 3122 and 3126. First we will calculate the prime factors of 3122 and 3126.

Prime Factorization of 3122


2 3122
7 1561
223 223
1

Prime factors of 3122 are 2, 7,223. Prime factorization of 3122 in exponential form is:

3122 = 21×71×2231

Prime Factorization of 3126


2 3126
3 1563
521 521
1

Prime factors of 3126 are 2, 3,521. Prime factorization of 3126 in exponential form is:

3126 = 21×31×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 3122 and 3126.

LCM(3122,3126) = 21×31×71×2231×5211
LCM(3122,3126) = 4879686

Factors of 3122

List of positive integer factors of 3122 that divides 3122 without a remainder.

1, 2, 7, 14, 223, 446, 1561, 3122

Factors of 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1, 2, 3, 6, 521, 1042, 1563, 3126

Least Common Multiple of 3122 and 3126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3122 and 3126, than apply into the LCM equation.

GCF(3122,3126) = 2
LCM(3122,3126) = ( 3122 × 3126) / 2
LCM(3122,3126) = 9759372 / 2
LCM(3122,3126) = 4879686

Properties of LCM 3122 and 3126

(i) The LCM of 3126 and 3122 is associative

LCM of 3122 and 3126 = LCM of 3126 and 3122

Related Least Common Multiples of 3122

Related Least Common Multiples of 3126

Frequently Asked Questions on LCM of 3122 and 3126

1. What is the LCM of 3122 and 3126?

Answer: LCM of 3122 and 3126 is 4879686.

2. What are the Factors of 3122?

Answer: Factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122. There are 8 integers that are factors of 3122. The greatest factor of 3122 is 3122.

3. What are the Factors of 3126?

Answer: Factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126. There are 8 integers that are factors of 3126. The greatest factor of 3126 is 3126.

4. How to Find the LCM of 3122 and 3126?

Answer:

Least Common Multiple of 3122 and 3126 = 4879686

Step 1: Find the prime factorization of 3122

3122 = 2 x 7 x 223

Step 2: Find the prime factorization of 3126

3126 = 2 x 3 x 521

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

LCM = 4879686 = 2 x 3 x 7 x 223 x 521

Step 4: Therefore, the least common multiple of 3122 and 3126 is 4879686.