Least Common Multiple of 4210 and 4216

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 4216 the smallest integer that is 8874680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4210 and 4216 is 8874680.

LCM(4210,4216) = 8874680

LCM of 4210 and 4216

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

LCM of:
and

Least Common Multiple of 4210 and 4216

LCM of 4210 and 4216 is 8874680

Least common multiple can be found by multiplying the highest exponent prime factors of 4210 and 4216. First we will calculate the prime factors of 4210 and 4216.

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 4216


2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 4216 are 2, 17,31. Prime factorization of 4216 in exponential form is:

4216 = 23×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4210 and 4216.

LCM(4210,4216) = 23×51×171×311×4211
LCM(4210,4216) = 8874680

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 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216

Least Common Multiple of 4210 and 4216 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 4216, than apply into the LCM equation.

GCF(4210,4216) = 2
LCM(4210,4216) = ( 4210 × 4216) / 2
LCM(4210,4216) = 17749360 / 2
LCM(4210,4216) = 8874680

Properties of LCM 4210 and 4216

(i) The LCM of 4216 and 4210 is associative

LCM of 4210 and 4216 = LCM of 4216 and 4210

Related Least Common Multiples of 4210

Related Least Common Multiples of 4216

Frequently Asked Questions on LCM of 4210 and 4216

1. What is the LCM of 4210 and 4216?

Answer: LCM of 4210 and 4216 is 8874680.

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 4216?

Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.

4. How to Find the LCM of 4210 and 4216?

Answer:

Least Common Multiple of 4210 and 4216 = 8874680

Step 1: Find the prime factorization of 4210

4210 = 2 x 5 x 421

Step 2: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

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

LCM = 8874680 = 2 x 2 x 2 x 5 x 17 x 31 x 421

Step 4: Therefore, the least common multiple of 4210 and 4216 is 8874680.