Least Common Multiple of 4135 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 4135 and 4140 the smallest integer that is 3423780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4135 and 4140 is 3423780.

LCM(4135,4140) = 3423780

LCM of 4135 and 4140

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

LCM of:
and

Least Common Multiple of 4135 and 4140

LCM of 4135 and 4140 is 3423780

Least common multiple can be found by multiplying the highest exponent prime factors of 4135 and 4140. First we will calculate the prime factors of 4135 and 4140.

Prime Factorization of 4135


5 4135
827 827
1

Prime factors of 4135 are 5,827. Prime factorization of 4135 in exponential form is:

4135 = 51×8271

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 4135 and 4140.

LCM(4135,4140) = 22×32×51×231×8271
LCM(4135,4140) = 3423780

Factors of 4135

List of positive integer factors of 4135 that divides 4135 without a remainder.

1, 5, 827, 4135

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 4135 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 4135 and 4140, than apply into the LCM equation.

GCF(4135,4140) = 5
LCM(4135,4140) = ( 4135 × 4140) / 5
LCM(4135,4140) = 17118900 / 5
LCM(4135,4140) = 3423780

Properties of LCM 4135 and 4140

(i) The LCM of 4140 and 4135 is associative

LCM of 4135 and 4140 = LCM of 4140 and 4135

Related Least Common Multiples of 4135

Related Least Common Multiples of 4140

Frequently Asked Questions on LCM of 4135 and 4140

1. What is the LCM of 4135 and 4140?

Answer: LCM of 4135 and 4140 is 3423780.

2. What are the Factors of 4135?

Answer: Factors of 4135 are 1, 5, 827, 4135. There are 4 integers that are factors of 4135. The greatest factor of 4135 is 4135.

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 4135 and 4140?

Answer:

Least Common Multiple of 4135 and 4140 = 3423780

Step 1: Find the prime factorization of 4135

4135 = 5 x 827

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 = 3423780 = 2 x 2 x 3 x 3 x 5 x 23 x 827

Step 4: Therefore, the least common multiple of 4135 and 4140 is 3423780.