Least Common Multiple of 210 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 210 and 211 the smallest integer that is 44310 that is divisible by both numbers.

Least Common Multiple (LCM) of 210 and 211 is 44310.

LCM(210,211) = 44310

LCM of 210 and 211

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

LCM of:
and

Least Common Multiple of 210 and 211

LCM of 210 and 211 is 44310

Least common multiple can be found by multiplying the highest exponent prime factors of 210 and 211. First we will calculate the prime factors of 210 and 211.

Prime Factorization of 210


2 210
3 105
5 35
7 7
1

Prime factors of 210 are 2, 3, 5,7. Prime factorization of 210 in exponential form is:

210 = 21×31×51×71

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 210 and 211.

LCM(210,211) = 21×31×51×71×2111
LCM(210,211) = 44310

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Factors of 211

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

1, 211

Least Common Multiple of 210 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 210 and 211, than apply into the LCM equation.

GCF(210,211) = 1
LCM(210,211) = ( 210 × 211) / 1
LCM(210,211) = 44310 / 1
LCM(210,211) = 44310

Properties of LCM 210 and 211

(i) The LCM of 211 and 210 is associative

LCM of 210 and 211 = LCM of 211 and 210

Related Least Common Multiples of 210

Related Least Common Multiples of 211

Frequently Asked Questions on LCM of 210 and 211

1. What is the LCM of 210 and 211?

Answer: LCM of 210 and 211 is 44310.

2. What are the Factors of 210?

Answer: Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. There are 16 integers that are factors of 210. The greatest factor of 210 is 210.

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 210 and 211?

Answer:

Least Common Multiple of 210 and 211 = 44310

Step 1: Find the prime factorization of 210

210 = 2 x 3 x 5 x 7

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 = 44310 = 2 x 3 x 5 x 7 x 211

Step 4: Therefore, the least common multiple of 210 and 211 is 44310.