Least Common Multiple of 4205 and 4211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4205 and 4211 the smallest integer that is 17707255 that is divisible by both numbers.

Least Common Multiple (LCM) of 4205 and 4211 is 17707255.

LCM(4205,4211) = 17707255

LCM of 4205 and 4211

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

LCM of:
and

Least Common Multiple of 4205 and 4211

LCM of 4205 and 4211 is 17707255

Least common multiple can be found by multiplying the highest exponent prime factors of 4205 and 4211. First we will calculate the prime factors of 4205 and 4211.

Prime Factorization of 4205


5 4205
29 841
29 29
1

Prime factors of 4205 are 5,29. Prime factorization of 4205 in exponential form is:

4205 = 51×292

Prime Factorization of 4211


4211 4211
1

Prime factors of 4211 are 4211. Prime factorization of 4211 in exponential form is:

4211 = 42111

Now multiplying the highest exponent prime factors to calculate the LCM of 4205 and 4211.

LCM(4205,4211) = 51×292×42111
LCM(4205,4211) = 17707255

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1, 5, 29, 145, 841, 4205

Factors of 4211

List of positive integer factors of 4211 that divides 4211 without a remainder.

1, 4211

Least Common Multiple of 4205 and 4211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4205 and 4211, than apply into the LCM equation.

GCF(4205,4211) = 1
LCM(4205,4211) = ( 4205 × 4211) / 1
LCM(4205,4211) = 17707255 / 1
LCM(4205,4211) = 17707255

Properties of LCM 4205 and 4211

(i) The LCM of 4211 and 4205 is associative

LCM of 4205 and 4211 = LCM of 4211 and 4205

Related Least Common Multiples of 4205

Related Least Common Multiples of 4211

Frequently Asked Questions on LCM of 4205 and 4211

1. What is the LCM of 4205 and 4211?

Answer: LCM of 4205 and 4211 is 17707255.

2. What are the Factors of 4205?

Answer: Factors of 4205 are 1, 5, 29, 145, 841, 4205. There are 6 integers that are factors of 4205. The greatest factor of 4205 is 4205.

3. What are the Factors of 4211?

Answer: Factors of 4211 are 1, 4211. There are 2 integers that are factors of 4211. The greatest factor of 4211 is 4211.

4. How to Find the LCM of 4205 and 4211?

Answer:

Least Common Multiple of 4205 and 4211 = 17707255

Step 1: Find the prime factorization of 4205

4205 = 5 x 29 x 29

Step 2: Find the prime factorization of 4211

4211 = 4211

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

LCM = 17707255 = 5 x 29 x 29 x 4211

Step 4: Therefore, the least common multiple of 4205 and 4211 is 17707255.