Least Common Multiple of 4201 and 4208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4201 and 4208 the smallest integer that is 17677808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4201 and 4208 is 17677808.

LCM(4201,4208) = 17677808

LCM of 4201 and 4208

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

LCM of:
and

Least Common Multiple of 4201 and 4208

LCM of 4201 and 4208 is 17677808

Least common multiple can be found by multiplying the highest exponent prime factors of 4201 and 4208. First we will calculate the prime factors of 4201 and 4208.

Prime Factorization of 4201


4201 4201
1

Prime factors of 4201 are 4201. Prime factorization of 4201 in exponential form is:

4201 = 42011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4201 and 4208.

LCM(4201,4208) = 24×2631×42011
LCM(4201,4208) = 17677808

Factors of 4201

List of positive integer factors of 4201 that divides 4201 without a remainder.

1, 4201

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

Least Common Multiple of 4201 and 4208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4201 and 4208, than apply into the LCM equation.

GCF(4201,4208) = 1
LCM(4201,4208) = ( 4201 × 4208) / 1
LCM(4201,4208) = 17677808 / 1
LCM(4201,4208) = 17677808

Properties of LCM 4201 and 4208

(i) The LCM of 4208 and 4201 is associative

LCM of 4201 and 4208 = LCM of 4208 and 4201

Related Least Common Multiples of 4201

Related Least Common Multiples of 4208

Frequently Asked Questions on LCM of 4201 and 4208

1. What is the LCM of 4201 and 4208?

Answer: LCM of 4201 and 4208 is 17677808.

2. What are the Factors of 4201?

Answer: Factors of 4201 are 1, 4201. There are 2 integers that are factors of 4201. The greatest factor of 4201 is 4201.

3. 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.

4. How to Find the LCM of 4201 and 4208?

Answer:

Least Common Multiple of 4201 and 4208 = 17677808

Step 1: Find the prime factorization of 4201

4201 = 4201

Step 2: Find the prime factorization of 4208

4208 = 2 x 2 x 2 x 2 x 263

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

LCM = 17677808 = 2 x 2 x 2 x 2 x 263 x 4201

Step 4: Therefore, the least common multiple of 4201 and 4208 is 17677808.