Least Common Multiple of 1211 and 1216

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 1216 the smallest integer that is 1472576 that is divisible by both numbers.

Least Common Multiple (LCM) of 1211 and 1216 is 1472576.

LCM(1211,1216) = 1472576

LCM of 1211 and 1216

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

LCM of:
and

Least Common Multiple of 1211 and 1216

LCM of 1211 and 1216 is 1472576

Least common multiple can be found by multiplying the highest exponent prime factors of 1211 and 1216. First we will calculate the prime factors of 1211 and 1216.

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 1216


2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 1216 are 2,19. Prime factorization of 1216 in exponential form is:

1216 = 26×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1211 and 1216.

LCM(1211,1216) = 26×71×191×1731
LCM(1211,1216) = 1472576

Factors of 1211

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

1, 7, 173, 1211

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216

Least Common Multiple of 1211 and 1216 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 1216, than apply into the LCM equation.

GCF(1211,1216) = 1
LCM(1211,1216) = ( 1211 × 1216) / 1
LCM(1211,1216) = 1472576 / 1
LCM(1211,1216) = 1472576

Properties of LCM 1211 and 1216

(i) The LCM of 1216 and 1211 is associative

LCM of 1211 and 1216 = LCM of 1216 and 1211

Related Least Common Multiples of 1211

Related Least Common Multiples of 1216

Frequently Asked Questions on LCM of 1211 and 1216

1. What is the LCM of 1211 and 1216?

Answer: LCM of 1211 and 1216 is 1472576.

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 1216?

Answer: Factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216. There are 14 integers that are factors of 1216. The greatest factor of 1216 is 1216.

4. How to Find the LCM of 1211 and 1216?

Answer:

Least Common Multiple of 1211 and 1216 = 1472576

Step 1: Find the prime factorization of 1211

1211 = 7 x 173

Step 2: Find the prime factorization of 1216

1216 = 2 x 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 1472576 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19 x 173

Step 4: Therefore, the least common multiple of 1211 and 1216 is 1472576.