Least Common Multiple of 4211 and 4213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4211 and 4213 the smallest integer that is 17740943 that is divisible by both numbers.

Least Common Multiple (LCM) of 4211 and 4213 is 17740943.

LCM(4211,4213) = 17740943

LCM of 4211 and 4213

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

LCM of:
and

Least Common Multiple of 4211 and 4213

LCM of 4211 and 4213 is 17740943

Least common multiple can be found by multiplying the highest exponent prime factors of 4211 and 4213. First we will calculate the prime factors of 4211 and 4213.

Prime Factorization of 4211


4211 4211
1

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

4211 = 42111

Prime Factorization of 4213


11 4213
383 383
1

Prime factors of 4213 are 11,383. Prime factorization of 4213 in exponential form is:

4213 = 111×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 4211 and 4213.

LCM(4211,4213) = 111×3831×42111
LCM(4211,4213) = 17740943

Factors of 4211

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

1, 4211

Factors of 4213

List of positive integer factors of 4213 that divides 4213 without a remainder.

1, 11, 383, 4213

Least Common Multiple of 4211 and 4213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4211 and 4213, than apply into the LCM equation.

GCF(4211,4213) = 1
LCM(4211,4213) = ( 4211 × 4213) / 1
LCM(4211,4213) = 17740943 / 1
LCM(4211,4213) = 17740943

Properties of LCM 4211 and 4213

(i) The LCM of 4213 and 4211 is associative

LCM of 4211 and 4213 = LCM of 4213 and 4211

Related Least Common Multiples of 4211

Related Least Common Multiples of 4213

Frequently Asked Questions on LCM of 4211 and 4213

1. What is the LCM of 4211 and 4213?

Answer: LCM of 4211 and 4213 is 17740943.

2. 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.

3. What are the Factors of 4213?

Answer: Factors of 4213 are 1, 11, 383, 4213. There are 4 integers that are factors of 4213. The greatest factor of 4213 is 4213.

4. How to Find the LCM of 4211 and 4213?

Answer:

Least Common Multiple of 4211 and 4213 = 17740943

Step 1: Find the prime factorization of 4211

4211 = 4211

Step 2: Find the prime factorization of 4213

4213 = 11 x 383

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

LCM = 17740943 = 11 x 383 x 4211

Step 4: Therefore, the least common multiple of 4211 and 4213 is 17740943.