Least Common Multiple of 210 and 212

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 212 the smallest integer that is 22260 that is divisible by both numbers.

Least Common Multiple (LCM) of 210 and 212 is 22260.

LCM(210,212) = 22260

LCM of 210 and 212

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

LCM of:
and

Least Common Multiple of 210 and 212

LCM of 210 and 212 is 22260

Least common multiple can be found by multiplying the highest exponent prime factors of 210 and 212. First we will calculate the prime factors of 210 and 212.

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 212


2 212
2 106
53 53
1

Prime factors of 212 are 2,53. Prime factorization of 212 in exponential form is:

212 = 22×531

Now multiplying the highest exponent prime factors to calculate the LCM of 210 and 212.

LCM(210,212) = 22×31×51×71×531
LCM(210,212) = 22260

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 212

List of positive integer factors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Least Common Multiple of 210 and 212 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 212, than apply into the LCM equation.

GCF(210,212) = 2
LCM(210,212) = ( 210 × 212) / 2
LCM(210,212) = 44520 / 2
LCM(210,212) = 22260

Properties of LCM 210 and 212

(i) The LCM of 212 and 210 is associative

LCM of 210 and 212 = LCM of 212 and 210

Related Least Common Multiples of 210

Related Least Common Multiples of 212

Frequently Asked Questions on LCM of 210 and 212

1. What is the LCM of 210 and 212?

Answer: LCM of 210 and 212 is 22260.

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 212?

Answer: Factors of 212 are 1, 2, 4, 53, 106, 212. There are 6 integers that are factors of 212. The greatest factor of 212 is 212.

4. How to Find the LCM of 210 and 212?

Answer:

Least Common Multiple of 210 and 212 = 22260

Step 1: Find the prime factorization of 210

210 = 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 212

212 = 2 x 2 x 53

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

LCM = 22260 = 2 x 2 x 3 x 5 x 7 x 53

Step 4: Therefore, the least common multiple of 210 and 212 is 22260.