Least Common Multiple of 4205 and 4210

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 4210 the smallest integer that is 3540610 that is divisible by both numbers.

Least Common Multiple (LCM) of 4205 and 4210 is 3540610.

LCM(4205,4210) = 3540610

LCM of 4205 and 4210

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

LCM of:
and

Least Common Multiple of 4205 and 4210

LCM of 4205 and 4210 is 3540610

Least common multiple can be found by multiplying the highest exponent prime factors of 4205 and 4210. First we will calculate the prime factors of 4205 and 4210.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 4205 and 4210.

LCM(4205,4210) = 21×51×292×4211
LCM(4205,4210) = 3540610

Factors of 4205

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

1, 5, 29, 145, 841, 4205

Factors of 4210

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

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

Least Common Multiple of 4205 and 4210 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 4210, than apply into the LCM equation.

GCF(4205,4210) = 5
LCM(4205,4210) = ( 4205 × 4210) / 5
LCM(4205,4210) = 17703050 / 5
LCM(4205,4210) = 3540610

Properties of LCM 4205 and 4210

(i) The LCM of 4210 and 4205 is associative

LCM of 4205 and 4210 = LCM of 4210 and 4205

Related Least Common Multiples of 4205

Related Least Common Multiples of 4210

Frequently Asked Questions on LCM of 4205 and 4210

1. What is the LCM of 4205 and 4210?

Answer: LCM of 4205 and 4210 is 3540610.

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 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.

4. How to Find the LCM of 4205 and 4210?

Answer:

Least Common Multiple of 4205 and 4210 = 3540610

Step 1: Find the prime factorization of 4205

4205 = 5 x 29 x 29

Step 2: Find the prime factorization of 4210

4210 = 2 x 5 x 421

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

LCM = 3540610 = 2 x 5 x 29 x 29 x 421

Step 4: Therefore, the least common multiple of 4205 and 4210 is 3540610.