Least Common Multiple of 4128 and 4136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4128 and 4136 the smallest integer that is 2134176 that is divisible by both numbers.

Least Common Multiple (LCM) of 4128 and 4136 is 2134176.

LCM(4128,4136) = 2134176

LCM of 4128 and 4136

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

LCM of:
and

Least Common Multiple of 4128 and 4136

LCM of 4128 and 4136 is 2134176

Least common multiple can be found by multiplying the highest exponent prime factors of 4128 and 4136. First we will calculate the prime factors of 4128 and 4136.

Prime Factorization of 4128


2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 4128 are 2, 3,43. Prime factorization of 4128 in exponential form is:

4128 = 25×31×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4128 and 4136.

LCM(4128,4136) = 25×31×111×431×471
LCM(4128,4136) = 2134176

Factors of 4128

List of positive integer factors of 4128 that divides 4128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128

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

Least Common Multiple of 4128 and 4136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4128 and 4136, than apply into the LCM equation.

GCF(4128,4136) = 8
LCM(4128,4136) = ( 4128 × 4136) / 8
LCM(4128,4136) = 17073408 / 8
LCM(4128,4136) = 2134176

Properties of LCM 4128 and 4136

(i) The LCM of 4136 and 4128 is associative

LCM of 4128 and 4136 = LCM of 4136 and 4128

Related Least Common Multiples of 4128

Related Least Common Multiples of 4136

Frequently Asked Questions on LCM of 4128 and 4136

1. What is the LCM of 4128 and 4136?

Answer: LCM of 4128 and 4136 is 2134176.

2. What are the Factors of 4128?

Answer: Factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128. There are 24 integers that are factors of 4128. The greatest factor of 4128 is 4128.

3. 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.

4. How to Find the LCM of 4128 and 4136?

Answer:

Least Common Multiple of 4128 and 4136 = 2134176

Step 1: Find the prime factorization of 4128

4128 = 2 x 2 x 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 4136

4136 = 2 x 2 x 2 x 11 x 47

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

LCM = 2134176 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 43 x 47

Step 4: Therefore, the least common multiple of 4128 and 4136 is 2134176.