Least Common Multiple of 3124 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 3124 and 3129 the smallest integer that is 9774996 that is divisible by both numbers.

Least Common Multiple (LCM) of 3124 and 3129 is 9774996.

LCM(3124,3129) = 9774996

LCM of 3124 and 3129

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

LCM of:
and

Least Common Multiple of 3124 and 3129

LCM of 3124 and 3129 is 9774996

Least common multiple can be found by multiplying the highest exponent prime factors of 3124 and 3129. First we will calculate the prime factors of 3124 and 3129.

Prime Factorization of 3124


2 3124
2 1562
11 781
71 71
1

Prime factors of 3124 are 2, 11,71. Prime factorization of 3124 in exponential form is:

3124 = 22×111×711

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 3124 and 3129.

LCM(3124,3129) = 22×31×71×111×711×1491
LCM(3124,3129) = 9774996

Factors of 3124

List of positive integer factors of 3124 that divides 3124 without a remainder.

1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

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 3124 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 3124 and 3129, than apply into the LCM equation.

GCF(3124,3129) = 1
LCM(3124,3129) = ( 3124 × 3129) / 1
LCM(3124,3129) = 9774996 / 1
LCM(3124,3129) = 9774996

Properties of LCM 3124 and 3129

(i) The LCM of 3129 and 3124 is associative

LCM of 3124 and 3129 = LCM of 3129 and 3124

Related Least Common Multiples of 3124

Related Least Common Multiples of 3129

Frequently Asked Questions on LCM of 3124 and 3129

1. What is the LCM of 3124 and 3129?

Answer: LCM of 3124 and 3129 is 9774996.

2. What are the Factors of 3124?

Answer: Factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124. There are 12 integers that are factors of 3124. The greatest factor of 3124 is 3124.

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 3124 and 3129?

Answer:

Least Common Multiple of 3124 and 3129 = 9774996

Step 1: Find the prime factorization of 3124

3124 = 2 x 2 x 11 x 71

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 = 9774996 = 2 x 2 x 3 x 7 x 11 x 71 x 149

Step 4: Therefore, the least common multiple of 3124 and 3129 is 9774996.