Least Common Multiple of 4212 and 4218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4212 and 4218 the smallest integer that is 2961036 that is divisible by both numbers.

Least Common Multiple (LCM) of 4212 and 4218 is 2961036.

LCM(4212,4218) = 2961036

LCM of 4212 and 4218

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

LCM of:
and

Least Common Multiple of 4212 and 4218

LCM of 4212 and 4218 is 2961036

Least common multiple can be found by multiplying the highest exponent prime factors of 4212 and 4218. First we will calculate the prime factors of 4212 and 4218.

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

Prime Factorization of 4218


2 4218
3 2109
19 703
37 37
1

Prime factors of 4218 are 2, 3, 19,37. Prime factorization of 4218 in exponential form is:

4218 = 21×31×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4212 and 4218.

LCM(4212,4218) = 22×34×131×191×371
LCM(4212,4218) = 2961036

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

Factors of 4218

List of positive integer factors of 4218 that divides 4218 without a remainder.

1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218

Least Common Multiple of 4212 and 4218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4212 and 4218, than apply into the LCM equation.

GCF(4212,4218) = 6
LCM(4212,4218) = ( 4212 × 4218) / 6
LCM(4212,4218) = 17766216 / 6
LCM(4212,4218) = 2961036

Properties of LCM 4212 and 4218

(i) The LCM of 4218 and 4212 is associative

LCM of 4212 and 4218 = LCM of 4218 and 4212

Related Least Common Multiples of 4212

Related Least Common Multiples of 4218

Frequently Asked Questions on LCM of 4212 and 4218

1. What is the LCM of 4212 and 4218?

Answer: LCM of 4212 and 4218 is 2961036.

2. 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.

3. What are the Factors of 4218?

Answer: Factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218. There are 16 integers that are factors of 4218. The greatest factor of 4218 is 4218.

4. How to Find the LCM of 4212 and 4218?

Answer:

Least Common Multiple of 4212 and 4218 = 2961036

Step 1: Find the prime factorization of 4212

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

Step 2: Find the prime factorization of 4218

4218 = 2 x 3 x 19 x 37

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

LCM = 2961036 = 2 x 2 x 3 x 3 x 3 x 3 x 13 x 19 x 37

Step 4: Therefore, the least common multiple of 4212 and 4218 is 2961036.