Least Common Multiple of 4208 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 4208 and 4213 the smallest integer that is 17728304 that is divisible by both numbers.

Least Common Multiple (LCM) of 4208 and 4213 is 17728304.

LCM(4208,4213) = 17728304

LCM of 4208 and 4213

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

LCM of:
and

Least Common Multiple of 4208 and 4213

LCM of 4208 and 4213 is 17728304

Least common multiple can be found by multiplying the highest exponent prime factors of 4208 and 4213. First we will calculate the prime factors of 4208 and 4213.

Prime Factorization of 4208


2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 4208 are 2,263. Prime factorization of 4208 in exponential form is:

4208 = 24×2631

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 4208 and 4213.

LCM(4208,4213) = 24×111×2631×3831
LCM(4208,4213) = 17728304

Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

Factors of 4213

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

1, 11, 383, 4213

Least Common Multiple of 4208 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 4208 and 4213, than apply into the LCM equation.

GCF(4208,4213) = 1
LCM(4208,4213) = ( 4208 × 4213) / 1
LCM(4208,4213) = 17728304 / 1
LCM(4208,4213) = 17728304

Properties of LCM 4208 and 4213

(i) The LCM of 4213 and 4208 is associative

LCM of 4208 and 4213 = LCM of 4213 and 4208

Related Least Common Multiples of 4208

Related Least Common Multiples of 4213

Frequently Asked Questions on LCM of 4208 and 4213

1. What is the LCM of 4208 and 4213?

Answer: LCM of 4208 and 4213 is 17728304.

2. What are the Factors of 4208?

Answer: Factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208. There are 10 integers that are factors of 4208. The greatest factor of 4208 is 4208.

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 4208 and 4213?

Answer:

Least Common Multiple of 4208 and 4213 = 17728304

Step 1: Find the prime factorization of 4208

4208 = 2 x 2 x 2 x 2 x 263

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 = 17728304 = 2 x 2 x 2 x 2 x 11 x 263 x 383

Step 4: Therefore, the least common multiple of 4208 and 4213 is 17728304.