Least Common Multiple of 12213 and 12220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12213 and 12220 the smallest integer that is 149242860 that is divisible by both numbers.

Least Common Multiple (LCM) of 12213 and 12220 is 149242860.

LCM(12213,12220) = 149242860

LCM of 12213 and 12220

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

LCM of:
and

Least Common Multiple of 12213 and 12220

LCM of 12213 and 12220 is 149242860

Least common multiple can be found by multiplying the highest exponent prime factors of 12213 and 12220. First we will calculate the prime factors of 12213 and 12220.

Prime Factorization of 12213


3 12213
3 4071
23 1357
59 59
1

Prime factors of 12213 are 3, 23,59. Prime factorization of 12213 in exponential form is:

12213 = 32×231×591

Prime Factorization of 12220


2 12220
2 6110
5 3055
13 611
47 47
1

Prime factors of 12220 are 2, 5, 13,47. Prime factorization of 12220 in exponential form is:

12220 = 22×51×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 12213 and 12220.

LCM(12213,12220) = 22×32×51×131×231×471×591
LCM(12213,12220) = 149242860

Factors of 12213

List of positive integer factors of 12213 that divides 12213 without a remainder.

1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071, 12213

Factors of 12220

List of positive integer factors of 12220 that divides 12220 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 47, 52, 65, 94, 130, 188, 235, 260, 470, 611, 940, 1222, 2444, 3055, 6110, 12220

Least Common Multiple of 12213 and 12220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12213 and 12220, than apply into the LCM equation.

GCF(12213,12220) = 1
LCM(12213,12220) = ( 12213 × 12220) / 1
LCM(12213,12220) = 149242860 / 1
LCM(12213,12220) = 149242860

Properties of LCM 12213 and 12220

(i) The LCM of 12220 and 12213 is associative

LCM of 12213 and 12220 = LCM of 12220 and 12213

Related Least Common Multiples of 12213

Related Least Common Multiples of 12220

Frequently Asked Questions on LCM of 12213 and 12220

1. What is the LCM of 12213 and 12220?

Answer: LCM of 12213 and 12220 is 149242860.

2. What are the Factors of 12213?

Answer: Factors of 12213 are 1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071, 12213. There are 12 integers that are factors of 12213. The greatest factor of 12213 is 12213.

3. What are the Factors of 12220?

Answer: Factors of 12220 are 1, 2, 4, 5, 10, 13, 20, 26, 47, 52, 65, 94, 130, 188, 235, 260, 470, 611, 940, 1222, 2444, 3055, 6110, 12220. There are 24 integers that are factors of 12220. The greatest factor of 12220 is 12220.

4. How to Find the LCM of 12213 and 12220?

Answer:

Least Common Multiple of 12213 and 12220 = 149242860

Step 1: Find the prime factorization of 12213

12213 = 3 x 3 x 23 x 59

Step 2: Find the prime factorization of 12220

12220 = 2 x 2 x 5 x 13 x 47

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

LCM = 149242860 = 2 x 2 x 3 x 3 x 5 x 13 x 23 x 47 x 59

Step 4: Therefore, the least common multiple of 12213 and 12220 is 149242860.