Least Common Multiple of 4136 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 4136 and 4140 the smallest integer that is 4280760 that is divisible by both numbers.

Least Common Multiple (LCM) of 4136 and 4140 is 4280760.

LCM(4136,4140) = 4280760

LCM of 4136 and 4140

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

LCM of:
and

Least Common Multiple of 4136 and 4140

LCM of 4136 and 4140 is 4280760

Least common multiple can be found by multiplying the highest exponent prime factors of 4136 and 4140. First we will calculate the prime factors of 4136 and 4140.

Prime Factorization of 4136


2 4136
2 2068
2 1034
11 517
47 47
1

Prime factors of 4136 are 2, 11,47. Prime factorization of 4136 in exponential form is:

4136 = 23×111×471

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 4136 and 4140.

LCM(4136,4140) = 23×32×51×111×231×471
LCM(4136,4140) = 4280760

Factors of 4136

List of positive integer factors of 4136 that divides 4136 without a remainder.

1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136

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 4136 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 4136 and 4140, than apply into the LCM equation.

GCF(4136,4140) = 4
LCM(4136,4140) = ( 4136 × 4140) / 4
LCM(4136,4140) = 17123040 / 4
LCM(4136,4140) = 4280760

Properties of LCM 4136 and 4140

(i) The LCM of 4140 and 4136 is associative

LCM of 4136 and 4140 = LCM of 4140 and 4136

Related Least Common Multiples of 4136

Related Least Common Multiples of 4140

Frequently Asked Questions on LCM of 4136 and 4140

1. What is the LCM of 4136 and 4140?

Answer: LCM of 4136 and 4140 is 4280760.

2. What are the Factors of 4136?

Answer: Factors of 4136 are 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136. There are 16 integers that are factors of 4136. The greatest factor of 4136 is 4136.

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 4136 and 4140?

Answer:

Least Common Multiple of 4136 and 4140 = 4280760

Step 1: Find the prime factorization of 4136

4136 = 2 x 2 x 2 x 11 x 47

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 = 4280760 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 23 x 47

Step 4: Therefore, the least common multiple of 4136 and 4140 is 4280760.