Least Common Multiple of 4205 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 4205 and 4212 the smallest integer that is 17711460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4205 and 4212 is 17711460.

LCM(4205,4212) = 17711460

LCM of 4205 and 4212

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

LCM of:
and

Least Common Multiple of 4205 and 4212

LCM of 4205 and 4212 is 17711460

Least common multiple can be found by multiplying the highest exponent prime factors of 4205 and 4212. First we will calculate the prime factors of 4205 and 4212.

Prime Factorization of 4205


5 4205
29 841
29 29
1

Prime factors of 4205 are 5,29. Prime factorization of 4205 in exponential form is:

4205 = 51×292

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 4205 and 4212.

LCM(4205,4212) = 22×34×51×131×292
LCM(4205,4212) = 17711460

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1, 5, 29, 145, 841, 4205

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 4205 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 4205 and 4212, than apply into the LCM equation.

GCF(4205,4212) = 1
LCM(4205,4212) = ( 4205 × 4212) / 1
LCM(4205,4212) = 17711460 / 1
LCM(4205,4212) = 17711460

Properties of LCM 4205 and 4212

(i) The LCM of 4212 and 4205 is associative

LCM of 4205 and 4212 = LCM of 4212 and 4205

Related Least Common Multiples of 4205

Related Least Common Multiples of 4212

Frequently Asked Questions on LCM of 4205 and 4212

1. What is the LCM of 4205 and 4212?

Answer: LCM of 4205 and 4212 is 17711460.

2. What are the Factors of 4205?

Answer: Factors of 4205 are 1, 5, 29, 145, 841, 4205. There are 6 integers that are factors of 4205. The greatest factor of 4205 is 4205.

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 4205 and 4212?

Answer:

Least Common Multiple of 4205 and 4212 = 17711460

Step 1: Find the prime factorization of 4205

4205 = 5 x 29 x 29

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 = 17711460 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 29 x 29

Step 4: Therefore, the least common multiple of 4205 and 4212 is 17711460.