Least Common Multiple of 4203 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 4203 and 4210 the smallest integer that is 17694630 that is divisible by both numbers.

Least Common Multiple (LCM) of 4203 and 4210 is 17694630.

LCM(4203,4210) = 17694630

LCM of 4203 and 4210

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

LCM of:
and

Least Common Multiple of 4203 and 4210

LCM of 4203 and 4210 is 17694630

Least common multiple can be found by multiplying the highest exponent prime factors of 4203 and 4210. First we will calculate the prime factors of 4203 and 4210.

Prime Factorization of 4203


3 4203
3 1401
467 467
1

Prime factors of 4203 are 3,467. Prime factorization of 4203 in exponential form is:

4203 = 32×4671

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 4203 and 4210.

LCM(4203,4210) = 21×32×51×4211×4671
LCM(4203,4210) = 17694630

Factors of 4203

List of positive integer factors of 4203 that divides 4203 without a remainder.

1, 3, 9, 467, 1401, 4203

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 4203 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 4203 and 4210, than apply into the LCM equation.

GCF(4203,4210) = 1
LCM(4203,4210) = ( 4203 × 4210) / 1
LCM(4203,4210) = 17694630 / 1
LCM(4203,4210) = 17694630

Properties of LCM 4203 and 4210

(i) The LCM of 4210 and 4203 is associative

LCM of 4203 and 4210 = LCM of 4210 and 4203

Related Least Common Multiples of 4203

Related Least Common Multiples of 4210

Frequently Asked Questions on LCM of 4203 and 4210

1. What is the LCM of 4203 and 4210?

Answer: LCM of 4203 and 4210 is 17694630.

2. What are the Factors of 4203?

Answer: Factors of 4203 are 1, 3, 9, 467, 1401, 4203. There are 6 integers that are factors of 4203. The greatest factor of 4203 is 4203.

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 4203 and 4210?

Answer:

Least Common Multiple of 4203 and 4210 = 17694630

Step 1: Find the prime factorization of 4203

4203 = 3 x 3 x 467

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 = 17694630 = 2 x 3 x 3 x 5 x 421 x 467

Step 4: Therefore, the least common multiple of 4203 and 4210 is 17694630.