Least Common Multiple of 4211 and 4212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4211 and 4212 the smallest integer that is 17736732 that is divisible by both numbers.

Least Common Multiple (LCM) of 4211 and 4212 is 17736732.

LCM(4211,4212) = 17736732

LCM of 4211 and 4212

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

LCM of:
and

Least Common Multiple of 4211 and 4212

LCM of 4211 and 4212 is 17736732

Least common multiple can be found by multiplying the highest exponent prime factors of 4211 and 4212. First we will calculate the prime factors of 4211 and 4212.

Prime Factorization of 4211


4211 4211
1

Prime factors of 4211 are 4211. Prime factorization of 4211 in exponential form is:

4211 = 42111

Prime Factorization of 4212


2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 4212 are 2, 3,13. Prime factorization of 4212 in exponential form is:

4212 = 22×34×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4211 and 4212.

LCM(4211,4212) = 22×34×131×42111
LCM(4211,4212) = 17736732

Factors of 4211

List of positive integer factors of 4211 that divides 4211 without a remainder.

1, 4211

Factors of 4212

List of positive integer factors of 4212 that divides 4212 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212

Least Common Multiple of 4211 and 4212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4211 and 4212, than apply into the LCM equation.

GCF(4211,4212) = 1
LCM(4211,4212) = ( 4211 × 4212) / 1
LCM(4211,4212) = 17736732 / 1
LCM(4211,4212) = 17736732

Properties of LCM 4211 and 4212

(i) The LCM of 4212 and 4211 is associative

LCM of 4211 and 4212 = LCM of 4212 and 4211

Related Least Common Multiples of 4211

Related Least Common Multiples of 4212

Frequently Asked Questions on LCM of 4211 and 4212

1. What is the LCM of 4211 and 4212?

Answer: LCM of 4211 and 4212 is 17736732.

2. What are the Factors of 4211?

Answer: Factors of 4211 are 1, 4211. There are 2 integers that are factors of 4211. The greatest factor of 4211 is 4211.

3. What are the Factors of 4212?

Answer: Factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212. There are 30 integers that are factors of 4212. The greatest factor of 4212 is 4212.

4. How to Find the LCM of 4211 and 4212?

Answer:

Least Common Multiple of 4211 and 4212 = 17736732

Step 1: Find the prime factorization of 4211

4211 = 4211

Step 2: Find the prime factorization of 4212

4212 = 2 x 2 x 3 x 3 x 3 x 3 x 13

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

LCM = 17736732 = 2 x 2 x 3 x 3 x 3 x 3 x 13 x 4211

Step 4: Therefore, the least common multiple of 4211 and 4212 is 17736732.