Least Common Multiple of 4132 and 4138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4132 and 4138 the smallest integer that is 8549108 that is divisible by both numbers.

Least Common Multiple (LCM) of 4132 and 4138 is 8549108.

LCM(4132,4138) = 8549108

LCM of 4132 and 4138

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

LCM of:
and

Least Common Multiple of 4132 and 4138

LCM of 4132 and 4138 is 8549108

Least common multiple can be found by multiplying the highest exponent prime factors of 4132 and 4138. First we will calculate the prime factors of 4132 and 4138.

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

Prime Factorization of 4138


2 4138
2069 2069
1

Prime factors of 4138 are 2,2069. Prime factorization of 4138 in exponential form is:

4138 = 21×20691

Now multiplying the highest exponent prime factors to calculate the LCM of 4132 and 4138.

LCM(4132,4138) = 22×10331×20691
LCM(4132,4138) = 8549108

Factors of 4132

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

1, 2, 4, 1033, 2066, 4132

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1, 2, 2069, 4138

Least Common Multiple of 4132 and 4138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4132 and 4138, than apply into the LCM equation.

GCF(4132,4138) = 2
LCM(4132,4138) = ( 4132 × 4138) / 2
LCM(4132,4138) = 17098216 / 2
LCM(4132,4138) = 8549108

Properties of LCM 4132 and 4138

(i) The LCM of 4138 and 4132 is associative

LCM of 4132 and 4138 = LCM of 4138 and 4132

Related Least Common Multiples of 4132

Related Least Common Multiples of 4138

Frequently Asked Questions on LCM of 4132 and 4138

1. What is the LCM of 4132 and 4138?

Answer: LCM of 4132 and 4138 is 8549108.

2. 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.

3. What are the Factors of 4138?

Answer: Factors of 4138 are 1, 2, 2069, 4138. There are 4 integers that are factors of 4138. The greatest factor of 4138 is 4138.

4. How to Find the LCM of 4132 and 4138?

Answer:

Least Common Multiple of 4132 and 4138 = 8549108

Step 1: Find the prime factorization of 4132

4132 = 2 x 2 x 1033

Step 2: Find the prime factorization of 4138

4138 = 2 x 2069

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

LCM = 8549108 = 2 x 2 x 1033 x 2069

Step 4: Therefore, the least common multiple of 4132 and 4138 is 8549108.