Least Common Multiple of 4210 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 4210 and 4213 the smallest integer that is 17736730 that is divisible by both numbers.

Least Common Multiple (LCM) of 4210 and 4213 is 17736730.

LCM(4210,4213) = 17736730

LCM of 4210 and 4213

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

LCM of:
and

Least Common Multiple of 4210 and 4213

LCM of 4210 and 4213 is 17736730

Least common multiple can be found by multiplying the highest exponent prime factors of 4210 and 4213. First we will calculate the prime factors of 4210 and 4213.

Prime Factorization of 4210


2 4210
5 2105
421 421
1

Prime factors of 4210 are 2, 5,421. Prime factorization of 4210 in exponential form is:

4210 = 21×51×4211

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 4210 and 4213.

LCM(4210,4213) = 21×51×111×3831×4211
LCM(4210,4213) = 17736730

Factors of 4210

List of positive integer factors of 4210 that divides 4210 without a remainder.

1, 2, 5, 10, 421, 842, 2105, 4210

Factors of 4213

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

1, 11, 383, 4213

Least Common Multiple of 4210 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 4210 and 4213, than apply into the LCM equation.

GCF(4210,4213) = 1
LCM(4210,4213) = ( 4210 × 4213) / 1
LCM(4210,4213) = 17736730 / 1
LCM(4210,4213) = 17736730

Properties of LCM 4210 and 4213

(i) The LCM of 4213 and 4210 is associative

LCM of 4210 and 4213 = LCM of 4213 and 4210

Related Least Common Multiples of 4210

Related Least Common Multiples of 4213

Frequently Asked Questions on LCM of 4210 and 4213

1. What is the LCM of 4210 and 4213?

Answer: LCM of 4210 and 4213 is 17736730.

2. What are the Factors of 4210?

Answer: Factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210. There are 8 integers that are factors of 4210. The greatest factor of 4210 is 4210.

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 4210 and 4213?

Answer:

Least Common Multiple of 4210 and 4213 = 17736730

Step 1: Find the prime factorization of 4210

4210 = 2 x 5 x 421

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 = 17736730 = 2 x 5 x 11 x 383 x 421

Step 4: Therefore, the least common multiple of 4210 and 4213 is 17736730.