Least Common Multiple of 4208 and 4215

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 4215 the smallest integer that is 17736720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4208 and 4215 is 17736720.

LCM(4208,4215) = 17736720

LCM of 4208 and 4215

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

LCM of:
and

Least Common Multiple of 4208 and 4215

LCM of 4208 and 4215 is 17736720

Least common multiple can be found by multiplying the highest exponent prime factors of 4208 and 4215. First we will calculate the prime factors of 4208 and 4215.

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 4215


3 4215
5 1405
281 281
1

Prime factors of 4215 are 3, 5,281. Prime factorization of 4215 in exponential form is:

4215 = 31×51×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 4208 and 4215.

LCM(4208,4215) = 24×31×51×2631×2811
LCM(4208,4215) = 17736720

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 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1, 3, 5, 15, 281, 843, 1405, 4215

Least Common Multiple of 4208 and 4215 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 4215, than apply into the LCM equation.

GCF(4208,4215) = 1
LCM(4208,4215) = ( 4208 × 4215) / 1
LCM(4208,4215) = 17736720 / 1
LCM(4208,4215) = 17736720

Properties of LCM 4208 and 4215

(i) The LCM of 4215 and 4208 is associative

LCM of 4208 and 4215 = LCM of 4215 and 4208

Related Least Common Multiples of 4208

Related Least Common Multiples of 4215

Frequently Asked Questions on LCM of 4208 and 4215

1. What is the LCM of 4208 and 4215?

Answer: LCM of 4208 and 4215 is 17736720.

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 4215?

Answer: Factors of 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215. There are 8 integers that are factors of 4215. The greatest factor of 4215 is 4215.

4. How to Find the LCM of 4208 and 4215?

Answer:

Least Common Multiple of 4208 and 4215 = 17736720

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 4215

4215 = 3 x 5 x 281

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

LCM = 17736720 = 2 x 2 x 2 x 2 x 3 x 5 x 263 x 281

Step 4: Therefore, the least common multiple of 4208 and 4215 is 17736720.