Least Common Multiple of 4212 and 4220

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 4220 the smallest integer that is 4443660 that is divisible by both numbers.

Least Common Multiple (LCM) of 4212 and 4220 is 4443660.

LCM(4212,4220) = 4443660

LCM of 4212 and 4220

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

LCM of:
and

Least Common Multiple of 4212 and 4220

LCM of 4212 and 4220 is 4443660

Least common multiple can be found by multiplying the highest exponent prime factors of 4212 and 4220. First we will calculate the prime factors of 4212 and 4220.

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 4220


2 4220
2 2110
5 1055
211 211
1

Prime factors of 4220 are 2, 5,211. Prime factorization of 4220 in exponential form is:

4220 = 22×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4212 and 4220.

LCM(4212,4220) = 22×34×51×131×2111
LCM(4212,4220) = 4443660

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 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220

Least Common Multiple of 4212 and 4220 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 4220, than apply into the LCM equation.

GCF(4212,4220) = 4
LCM(4212,4220) = ( 4212 × 4220) / 4
LCM(4212,4220) = 17774640 / 4
LCM(4212,4220) = 4443660

Properties of LCM 4212 and 4220

(i) The LCM of 4220 and 4212 is associative

LCM of 4212 and 4220 = LCM of 4220 and 4212

Related Least Common Multiples of 4212

Related Least Common Multiples of 4220

Frequently Asked Questions on LCM of 4212 and 4220

1. What is the LCM of 4212 and 4220?

Answer: LCM of 4212 and 4220 is 4443660.

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 4220?

Answer: Factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220. There are 12 integers that are factors of 4220. The greatest factor of 4220 is 4220.

4. How to Find the LCM of 4212 and 4220?

Answer:

Least Common Multiple of 4212 and 4220 = 4443660

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 4220

4220 = 2 x 2 x 5 x 211

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

LCM = 4443660 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 211

Step 4: Therefore, the least common multiple of 4212 and 4220 is 4443660.