Least Common Multiple of 4202 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 4202 and 4210 the smallest integer that is 8845210 that is divisible by both numbers.

Least Common Multiple (LCM) of 4202 and 4210 is 8845210.

LCM(4202,4210) = 8845210

LCM of 4202 and 4210

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

LCM of:
and

Least Common Multiple of 4202 and 4210

LCM of 4202 and 4210 is 8845210

Least common multiple can be found by multiplying the highest exponent prime factors of 4202 and 4210. First we will calculate the prime factors of 4202 and 4210.

Prime Factorization of 4202


2 4202
11 2101
191 191
1

Prime factors of 4202 are 2, 11,191. Prime factorization of 4202 in exponential form is:

4202 = 21×111×1911

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 4202 and 4210.

LCM(4202,4210) = 21×51×111×1911×4211
LCM(4202,4210) = 8845210

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1, 2, 11, 22, 191, 382, 2101, 4202

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 4202 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 4202 and 4210, than apply into the LCM equation.

GCF(4202,4210) = 2
LCM(4202,4210) = ( 4202 × 4210) / 2
LCM(4202,4210) = 17690420 / 2
LCM(4202,4210) = 8845210

Properties of LCM 4202 and 4210

(i) The LCM of 4210 and 4202 is associative

LCM of 4202 and 4210 = LCM of 4210 and 4202

Related Least Common Multiples of 4202

Related Least Common Multiples of 4210

Frequently Asked Questions on LCM of 4202 and 4210

1. What is the LCM of 4202 and 4210?

Answer: LCM of 4202 and 4210 is 8845210.

2. What are the Factors of 4202?

Answer: Factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202. There are 8 integers that are factors of 4202. The greatest factor of 4202 is 4202.

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 4202 and 4210?

Answer:

Least Common Multiple of 4202 and 4210 = 8845210

Step 1: Find the prime factorization of 4202

4202 = 2 x 11 x 191

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 = 8845210 = 2 x 5 x 11 x 191 x 421

Step 4: Therefore, the least common multiple of 4202 and 4210 is 8845210.