Least Common Multiple of 3129 and 3135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3129 and 3135 the smallest integer that is 3269805 that is divisible by both numbers.

Least Common Multiple (LCM) of 3129 and 3135 is 3269805.

LCM(3129,3135) = 3269805

LCM of 3129 and 3135

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

LCM of:
and

Least Common Multiple of 3129 and 3135

LCM of 3129 and 3135 is 3269805

Least common multiple can be found by multiplying the highest exponent prime factors of 3129 and 3135. First we will calculate the prime factors of 3129 and 3135.

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

Prime Factorization of 3135


3 3135
5 1045
11 209
19 19
1

Prime factors of 3135 are 3, 5, 11,19. Prime factorization of 3135 in exponential form is:

3135 = 31×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3129 and 3135.

LCM(3129,3135) = 31×51×71×111×191×1491
LCM(3129,3135) = 3269805

Factors of 3129

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

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

Factors of 3135

List of positive integer factors of 3135 that divides 3135 without a remainder.

1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135

Least Common Multiple of 3129 and 3135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3129 and 3135, than apply into the LCM equation.

GCF(3129,3135) = 3
LCM(3129,3135) = ( 3129 × 3135) / 3
LCM(3129,3135) = 9809415 / 3
LCM(3129,3135) = 3269805

Properties of LCM 3129 and 3135

(i) The LCM of 3135 and 3129 is associative

LCM of 3129 and 3135 = LCM of 3135 and 3129

Related Least Common Multiples of 3129

Related Least Common Multiples of 3135

Frequently Asked Questions on LCM of 3129 and 3135

1. What is the LCM of 3129 and 3135?

Answer: LCM of 3129 and 3135 is 3269805.

2. 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.

3. What are the Factors of 3135?

Answer: Factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135. There are 16 integers that are factors of 3135. The greatest factor of 3135 is 3135.

4. How to Find the LCM of 3129 and 3135?

Answer:

Least Common Multiple of 3129 and 3135 = 3269805

Step 1: Find the prime factorization of 3129

3129 = 3 x 7 x 149

Step 2: Find the prime factorization of 3135

3135 = 3 x 5 x 11 x 19

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

LCM = 3269805 = 3 x 5 x 7 x 11 x 19 x 149

Step 4: Therefore, the least common multiple of 3129 and 3135 is 3269805.