Least Common Multiple of 208 and 211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 208 and 211 the smallest integer that is 43888 that is divisible by both numbers.

Least Common Multiple (LCM) of 208 and 211 is 43888.

LCM(208,211) = 43888

LCM of 208 and 211

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

LCM of:
and

Least Common Multiple of 208 and 211

LCM of 208 and 211 is 43888

Least common multiple can be found by multiplying the highest exponent prime factors of 208 and 211. First we will calculate the prime factors of 208 and 211.

Prime Factorization of 208


2 208
2 104
2 52
2 26
13 13
1

Prime factors of 208 are 2,13. Prime factorization of 208 in exponential form is:

208 = 24×131

Prime Factorization of 211


211 211
1

Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:

211 = 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 208 and 211.

LCM(208,211) = 24×131×2111
LCM(208,211) = 43888

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1, 211

Least Common Multiple of 208 and 211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 208 and 211, than apply into the LCM equation.

GCF(208,211) = 1
LCM(208,211) = ( 208 × 211) / 1
LCM(208,211) = 43888 / 1
LCM(208,211) = 43888

Properties of LCM 208 and 211

(i) The LCM of 211 and 208 is associative

LCM of 208 and 211 = LCM of 211 and 208

Related Least Common Multiples of 208

Related Least Common Multiples of 211

Frequently Asked Questions on LCM of 208 and 211

1. What is the LCM of 208 and 211?

Answer: LCM of 208 and 211 is 43888.

2. What are the Factors of 208?

Answer: Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. There are 10 integers that are factors of 208. The greatest factor of 208 is 208.

3. What are the Factors of 211?

Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.

4. How to Find the LCM of 208 and 211?

Answer:

Least Common Multiple of 208 and 211 = 43888

Step 1: Find the prime factorization of 208

208 = 2 x 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 211

211 = 211

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

LCM = 43888 = 2 x 2 x 2 x 2 x 13 x 211

Step 4: Therefore, the least common multiple of 208 and 211 is 43888.