Least Common Multiple of 210 and 215

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 215 the smallest integer that is 9030 that is divisible by both numbers.

Least Common Multiple (LCM) of 210 and 215 is 9030.

LCM(210,215) = 9030

LCM of 210 and 215

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

LCM of:
and

Least Common Multiple of 210 and 215

LCM of 210 and 215 is 9030

Least common multiple can be found by multiplying the highest exponent prime factors of 210 and 215. First we will calculate the prime factors of 210 and 215.

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 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 210 and 215.

LCM(210,215) = 21×31×51×71×431
LCM(210,215) = 9030

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 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Least Common Multiple of 210 and 215 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 215, than apply into the LCM equation.

GCF(210,215) = 5
LCM(210,215) = ( 210 × 215) / 5
LCM(210,215) = 45150 / 5
LCM(210,215) = 9030

Properties of LCM 210 and 215

(i) The LCM of 215 and 210 is associative

LCM of 210 and 215 = LCM of 215 and 210

Related Least Common Multiples of 210

Related Least Common Multiples of 215

Frequently Asked Questions on LCM of 210 and 215

1. What is the LCM of 210 and 215?

Answer: LCM of 210 and 215 is 9030.

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 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

4. How to Find the LCM of 210 and 215?

Answer:

Least Common Multiple of 210 and 215 = 9030

Step 1: Find the prime factorization of 210

210 = 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 215

215 = 5 x 43

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

LCM = 9030 = 2 x 3 x 5 x 7 x 43

Step 4: Therefore, the least common multiple of 210 and 215 is 9030.