Least Common Multiple of 4208 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 4208 and 4216 the smallest integer that is 2217616 that is divisible by both numbers.

Least Common Multiple (LCM) of 4208 and 4216 is 2217616.

LCM(4208,4216) = 2217616

LCM of 4208 and 4216

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

LCM of:
and

Least Common Multiple of 4208 and 4216

LCM of 4208 and 4216 is 2217616

Least common multiple can be found by multiplying the highest exponent prime factors of 4208 and 4216. First we will calculate the prime factors of 4208 and 4216.

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 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 4208 and 4216.

LCM(4208,4216) = 24×171×311×2631
LCM(4208,4216) = 2217616

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 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 4208 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 4208 and 4216, than apply into the LCM equation.

GCF(4208,4216) = 8
LCM(4208,4216) = ( 4208 × 4216) / 8
LCM(4208,4216) = 17740928 / 8
LCM(4208,4216) = 2217616

Properties of LCM 4208 and 4216

(i) The LCM of 4216 and 4208 is associative

LCM of 4208 and 4216 = LCM of 4216 and 4208

Related Least Common Multiples of 4208

Related Least Common Multiples of 4216

Frequently Asked Questions on LCM of 4208 and 4216

1. What is the LCM of 4208 and 4216?

Answer: LCM of 4208 and 4216 is 2217616.

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 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 4208 and 4216?

Answer:

Least Common Multiple of 4208 and 4216 = 2217616

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 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 = 2217616 = 2 x 2 x 2 x 2 x 17 x 31 x 263

Step 4: Therefore, the least common multiple of 4208 and 4216 is 2217616.