Least Common Multiple of 3122 and 3129

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 3129 the smallest integer that is 1395534 that is divisible by both numbers.

Least Common Multiple (LCM) of 3122 and 3129 is 1395534.

LCM(3122,3129) = 1395534

LCM of 3122 and 3129

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

LCM of:
and

Least Common Multiple of 3122 and 3129

LCM of 3122 and 3129 is 1395534

Least common multiple can be found by multiplying the highest exponent prime factors of 3122 and 3129. First we will calculate the prime factors of 3122 and 3129.

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 3129


3 3129
7 1043
149 149
1

Prime factors of 3129 are 3, 7,149. Prime factorization of 3129 in exponential form is:

3129 = 31×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3122 and 3129.

LCM(3122,3129) = 21×31×71×1491×2231
LCM(3122,3129) = 1395534

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 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1, 3, 7, 21, 149, 447, 1043, 3129

Least Common Multiple of 3122 and 3129 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 3129, than apply into the LCM equation.

GCF(3122,3129) = 7
LCM(3122,3129) = ( 3122 × 3129) / 7
LCM(3122,3129) = 9768738 / 7
LCM(3122,3129) = 1395534

Properties of LCM 3122 and 3129

(i) The LCM of 3129 and 3122 is associative

LCM of 3122 and 3129 = LCM of 3129 and 3122

Related Least Common Multiples of 3122

Related Least Common Multiples of 3129

Frequently Asked Questions on LCM of 3122 and 3129

1. What is the LCM of 3122 and 3129?

Answer: LCM of 3122 and 3129 is 1395534.

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 3129?

Answer: Factors of 3129 are 1, 3, 7, 21, 149, 447, 1043, 3129. There are 8 integers that are factors of 3129. The greatest factor of 3129 is 3129.

4. How to Find the LCM of 3122 and 3129?

Answer:

Least Common Multiple of 3122 and 3129 = 1395534

Step 1: Find the prime factorization of 3122

3122 = 2 x 7 x 223

Step 2: Find the prime factorization of 3129

3129 = 3 x 7 x 149

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

LCM = 1395534 = 2 x 3 x 7 x 149 x 223

Step 4: Therefore, the least common multiple of 3122 and 3129 is 1395534.