Least Common Multiple of 3125 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 3125 and 3129 the smallest integer that is 9778125 that is divisible by both numbers.

Least Common Multiple (LCM) of 3125 and 3129 is 9778125.

LCM(3125,3129) = 9778125

LCM of 3125 and 3129

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

LCM of:
and

Least Common Multiple of 3125 and 3129

LCM of 3125 and 3129 is 9778125

Least common multiple can be found by multiplying the highest exponent prime factors of 3125 and 3129. First we will calculate the prime factors of 3125 and 3129.

Prime Factorization of 3125


5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 55

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 3125 and 3129.

LCM(3125,3129) = 31×55×71×1491
LCM(3125,3129) = 9778125

Factors of 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1, 5, 25, 125, 625, 3125

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 3125 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 3125 and 3129, than apply into the LCM equation.

GCF(3125,3129) = 1
LCM(3125,3129) = ( 3125 × 3129) / 1
LCM(3125,3129) = 9778125 / 1
LCM(3125,3129) = 9778125

Properties of LCM 3125 and 3129

(i) The LCM of 3129 and 3125 is associative

LCM of 3125 and 3129 = LCM of 3129 and 3125

Related Least Common Multiples of 3125

Related Least Common Multiples of 3129

Frequently Asked Questions on LCM of 3125 and 3129

1. What is the LCM of 3125 and 3129?

Answer: LCM of 3125 and 3129 is 9778125.

2. What are the Factors of 3125?

Answer: Factors of 3125 are 1, 5, 25, 125, 625, 3125. There are 6 integers that are factors of 3125. The greatest factor of 3125 is 3125.

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 3125 and 3129?

Answer:

Least Common Multiple of 3125 and 3129 = 9778125

Step 1: Find the prime factorization of 3125

3125 = 5 x 5 x 5 x 5 x 5

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 = 9778125 = 3 x 5 x 5 x 5 x 5 x 5 x 7 x 149

Step 4: Therefore, the least common multiple of 3125 and 3129 is 9778125.