Least Common Multiple of 4128 and 4132

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 4132 the smallest integer that is 4264224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4128 and 4132 is 4264224.

LCM(4128,4132) = 4264224

LCM of 4128 and 4132

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

LCM of:
and

Least Common Multiple of 4128 and 4132

LCM of 4128 and 4132 is 4264224

Least common multiple can be found by multiplying the highest exponent prime factors of 4128 and 4132. First we will calculate the prime factors of 4128 and 4132.

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 4132


2 4132
2 2066
1033 1033
1

Prime factors of 4132 are 2,1033. Prime factorization of 4132 in exponential form is:

4132 = 22×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 4128 and 4132.

LCM(4128,4132) = 25×31×431×10331
LCM(4128,4132) = 4264224

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 4132

List of positive integer factors of 4132 that divides 4132 without a remainder.

1, 2, 4, 1033, 2066, 4132

Least Common Multiple of 4128 and 4132 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 4132, than apply into the LCM equation.

GCF(4128,4132) = 4
LCM(4128,4132) = ( 4128 × 4132) / 4
LCM(4128,4132) = 17056896 / 4
LCM(4128,4132) = 4264224

Properties of LCM 4128 and 4132

(i) The LCM of 4132 and 4128 is associative

LCM of 4128 and 4132 = LCM of 4132 and 4128

Related Least Common Multiples of 4128

Related Least Common Multiples of 4132

Frequently Asked Questions on LCM of 4128 and 4132

1. What is the LCM of 4128 and 4132?

Answer: LCM of 4128 and 4132 is 4264224.

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 4132?

Answer: Factors of 4132 are 1, 2, 4, 1033, 2066, 4132. There are 6 integers that are factors of 4132. The greatest factor of 4132 is 4132.

4. How to Find the LCM of 4128 and 4132?

Answer:

Least Common Multiple of 4128 and 4132 = 4264224

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 4132

4132 = 2 x 2 x 1033

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

LCM = 4264224 = 2 x 2 x 2 x 2 x 2 x 3 x 43 x 1033

Step 4: Therefore, the least common multiple of 4128 and 4132 is 4264224.