Least Common Multiple of 1211 and 1212

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 1212 the smallest integer that is 1467732 that is divisible by both numbers.

Least Common Multiple (LCM) of 1211 and 1212 is 1467732.

LCM(1211,1212) = 1467732

LCM of 1211 and 1212

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

LCM of:
and

Least Common Multiple of 1211 and 1212

LCM of 1211 and 1212 is 1467732

Least common multiple can be found by multiplying the highest exponent prime factors of 1211 and 1212. First we will calculate the prime factors of 1211 and 1212.

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 1212


2 1212
2 606
3 303
101 101
1

Prime factors of 1212 are 2, 3,101. Prime factorization of 1212 in exponential form is:

1212 = 22×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1211 and 1212.

LCM(1211,1212) = 22×31×71×1011×1731
LCM(1211,1212) = 1467732

Factors of 1211

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

1, 7, 173, 1211

Factors of 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212

Least Common Multiple of 1211 and 1212 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 1212, than apply into the LCM equation.

GCF(1211,1212) = 1
LCM(1211,1212) = ( 1211 × 1212) / 1
LCM(1211,1212) = 1467732 / 1
LCM(1211,1212) = 1467732

Properties of LCM 1211 and 1212

(i) The LCM of 1212 and 1211 is associative

LCM of 1211 and 1212 = LCM of 1212 and 1211

Related Least Common Multiples of 1211

Related Least Common Multiples of 1212

Frequently Asked Questions on LCM of 1211 and 1212

1. What is the LCM of 1211 and 1212?

Answer: LCM of 1211 and 1212 is 1467732.

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 1212?

Answer: Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212. There are 12 integers that are factors of 1212. The greatest factor of 1212 is 1212.

4. How to Find the LCM of 1211 and 1212?

Answer:

Least Common Multiple of 1211 and 1212 = 1467732

Step 1: Find the prime factorization of 1211

1211 = 7 x 173

Step 2: Find the prime factorization of 1212

1212 = 2 x 2 x 3 x 101

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

LCM = 1467732 = 2 x 2 x 3 x 7 x 101 x 173

Step 4: Therefore, the least common multiple of 1211 and 1212 is 1467732.