Least Common Multiple of 4133 and 4141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4133 and 4141 the smallest integer that is 17114753 that is divisible by both numbers.

Least Common Multiple (LCM) of 4133 and 4141 is 17114753.

LCM(4133,4141) = 17114753

LCM of 4133 and 4141

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

LCM of:
and

Least Common Multiple of 4133 and 4141

LCM of 4133 and 4141 is 17114753

Least common multiple can be found by multiplying the highest exponent prime factors of 4133 and 4141. First we will calculate the prime factors of 4133 and 4141.

Prime Factorization of 4133


4133 4133
1

Prime factors of 4133 are 4133. Prime factorization of 4133 in exponential form is:

4133 = 41331

Prime Factorization of 4141


41 4141
101 101
1

Prime factors of 4141 are 41,101. Prime factorization of 4141 in exponential form is:

4141 = 411×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4133 and 4141.

LCM(4133,4141) = 411×1011×41331
LCM(4133,4141) = 17114753

Factors of 4133

List of positive integer factors of 4133 that divides 4133 without a remainder.

1, 4133

Factors of 4141

List of positive integer factors of 4141 that divides 4141 without a remainder.

1, 41, 101, 4141

Least Common Multiple of 4133 and 4141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4133 and 4141, than apply into the LCM equation.

GCF(4133,4141) = 1
LCM(4133,4141) = ( 4133 × 4141) / 1
LCM(4133,4141) = 17114753 / 1
LCM(4133,4141) = 17114753

Properties of LCM 4133 and 4141

(i) The LCM of 4141 and 4133 is associative

LCM of 4133 and 4141 = LCM of 4141 and 4133

Related Least Common Multiples of 4133

Related Least Common Multiples of 4141

Frequently Asked Questions on LCM of 4133 and 4141

1. What is the LCM of 4133 and 4141?

Answer: LCM of 4133 and 4141 is 17114753.

2. What are the Factors of 4133?

Answer: Factors of 4133 are 1, 4133. There are 2 integers that are factors of 4133. The greatest factor of 4133 is 4133.

3. What are the Factors of 4141?

Answer: Factors of 4141 are 1, 41, 101, 4141. There are 4 integers that are factors of 4141. The greatest factor of 4141 is 4141.

4. How to Find the LCM of 4133 and 4141?

Answer:

Least Common Multiple of 4133 and 4141 = 17114753

Step 1: Find the prime factorization of 4133

4133 = 4133

Step 2: Find the prime factorization of 4141

4141 = 41 x 101

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

LCM = 17114753 = 41 x 101 x 4133

Step 4: Therefore, the least common multiple of 4133 and 4141 is 17114753.