Least Common Multiple of 4134 and 4140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4134 and 4140 the smallest integer that is 2852460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4134 and 4140 is 2852460.

LCM(4134,4140) = 2852460

LCM of 4134 and 4140

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

LCM of:
and

Least Common Multiple of 4134 and 4140

LCM of 4134 and 4140 is 2852460

Least common multiple can be found by multiplying the highest exponent prime factors of 4134 and 4140. First we will calculate the prime factors of 4134 and 4140.

Prime Factorization of 4134


2 4134
3 2067
13 689
53 53
1

Prime factors of 4134 are 2, 3, 13,53. Prime factorization of 4134 in exponential form is:

4134 = 21×31×131×531

Prime Factorization of 4140


2 4140
2 2070
3 1035
3 345
5 115
23 23
1

Prime factors of 4140 are 2, 3, 5,23. Prime factorization of 4140 in exponential form is:

4140 = 22×32×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4134 and 4140.

LCM(4134,4140) = 22×32×51×131×231×531
LCM(4134,4140) = 2852460

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134

Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140

Least Common Multiple of 4134 and 4140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4134 and 4140, than apply into the LCM equation.

GCF(4134,4140) = 6
LCM(4134,4140) = ( 4134 × 4140) / 6
LCM(4134,4140) = 17114760 / 6
LCM(4134,4140) = 2852460

Properties of LCM 4134 and 4140

(i) The LCM of 4140 and 4134 is associative

LCM of 4134 and 4140 = LCM of 4140 and 4134

Related Least Common Multiples of 4134

Related Least Common Multiples of 4140

Frequently Asked Questions on LCM of 4134 and 4140

1. What is the LCM of 4134 and 4140?

Answer: LCM of 4134 and 4140 is 2852460.

2. What are the Factors of 4134?

Answer: Factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134. There are 16 integers that are factors of 4134. The greatest factor of 4134 is 4134.

3. What are the Factors of 4140?

Answer: Factors of 4140 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140. There are 36 integers that are factors of 4140. The greatest factor of 4140 is 4140.

4. How to Find the LCM of 4134 and 4140?

Answer:

Least Common Multiple of 4134 and 4140 = 2852460

Step 1: Find the prime factorization of 4134

4134 = 2 x 3 x 13 x 53

Step 2: Find the prime factorization of 4140

4140 = 2 x 2 x 3 x 3 x 5 x 23

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

LCM = 2852460 = 2 x 2 x 3 x 3 x 5 x 13 x 23 x 53

Step 4: Therefore, the least common multiple of 4134 and 4140 is 2852460.