Least Common Multiple of 1211 and 1218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1211 and 1218 the smallest integer that is 210714 that is divisible by both numbers.

Least Common Multiple (LCM) of 1211 and 1218 is 210714.

LCM(1211,1218) = 210714

LCM of 1211 and 1218

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

LCM of:
and

Least Common Multiple of 1211 and 1218

LCM of 1211 and 1218 is 210714

Least common multiple can be found by multiplying the highest exponent prime factors of 1211 and 1218. First we will calculate the prime factors of 1211 and 1218.

Prime Factorization of 1211


7 1211
173 173
1

Prime factors of 1211 are 7,173. Prime factorization of 1211 in exponential form is:

1211 = 71×1731

Prime Factorization of 1218


2 1218
3 609
7 203
29 29
1

Prime factors of 1218 are 2, 3, 7,29. Prime factorization of 1218 in exponential form is:

1218 = 21×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1211 and 1218.

LCM(1211,1218) = 21×31×71×291×1731
LCM(1211,1218) = 210714

Factors of 1211

List of positive integer factors of 1211 that divides 1211 without a remainder.

1, 7, 173, 1211

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218

Least Common Multiple of 1211 and 1218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1211 and 1218, than apply into the LCM equation.

GCF(1211,1218) = 7
LCM(1211,1218) = ( 1211 × 1218) / 7
LCM(1211,1218) = 1474998 / 7
LCM(1211,1218) = 210714

Properties of LCM 1211 and 1218

(i) The LCM of 1218 and 1211 is associative

LCM of 1211 and 1218 = LCM of 1218 and 1211

Related Least Common Multiples of 1211

Related Least Common Multiples of 1218

Frequently Asked Questions on LCM of 1211 and 1218

1. What is the LCM of 1211 and 1218?

Answer: LCM of 1211 and 1218 is 210714.

2. What are the Factors of 1211?

Answer: Factors of 1211 are 1, 7, 173, 1211. There are 4 integers that are factors of 1211. The greatest factor of 1211 is 1211.

3. What are the Factors of 1218?

Answer: Factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218. There are 16 integers that are factors of 1218. The greatest factor of 1218 is 1218.

4. How to Find the LCM of 1211 and 1218?

Answer:

Least Common Multiple of 1211 and 1218 = 210714

Step 1: Find the prime factorization of 1211

1211 = 7 x 173

Step 2: Find the prime factorization of 1218

1218 = 2 x 3 x 7 x 29

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

LCM = 210714 = 2 x 3 x 7 x 29 x 173

Step 4: Therefore, the least common multiple of 1211 and 1218 is 210714.