Least Common Multiple of 22413 and 22420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 22413 and 22420 the smallest integer that is 502499460 that is divisible by both numbers.

Least Common Multiple (LCM) of 22413 and 22420 is 502499460.

LCM(22413,22420) = 502499460

LCM of 22413 and 22420

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

LCM of:
and

Least Common Multiple of 22413 and 22420

LCM of 22413 and 22420 is 502499460

Least common multiple can be found by multiplying the highest exponent prime factors of 22413 and 22420. First we will calculate the prime factors of 22413 and 22420.

Prime Factorization of 22413


3 22413
31 7471
241 241
1

Prime factors of 22413 are 3, 31,241. Prime factorization of 22413 in exponential form is:

22413 = 31×311×2411

Prime Factorization of 22420


2 22420
2 11210
5 5605
19 1121
59 59
1

Prime factors of 22420 are 2, 5, 19,59. Prime factorization of 22420 in exponential form is:

22420 = 22×51×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 22413 and 22420.

LCM(22413,22420) = 22×31×51×191×311×591×2411
LCM(22413,22420) = 502499460

Factors of 22413

List of positive integer factors of 22413 that divides 22413 without a remainder.

1, 3, 31, 93, 241, 723, 7471, 22413

Factors of 22420

List of positive integer factors of 22420 that divides 22420 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 59, 76, 95, 118, 190, 236, 295, 380, 590, 1121, 1180, 2242, 4484, 5605, 11210, 22420

Least Common Multiple of 22413 and 22420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22413 and 22420, than apply into the LCM equation.

GCF(22413,22420) = 1
LCM(22413,22420) = ( 22413 × 22420) / 1
LCM(22413,22420) = 502499460 / 1
LCM(22413,22420) = 502499460

Properties of LCM 22413 and 22420

(i) The LCM of 22420 and 22413 is associative

LCM of 22413 and 22420 = LCM of 22420 and 22413

Related Least Common Multiples of 22413

Related Least Common Multiples of 22420

Frequently Asked Questions on LCM of 22413 and 22420

1. What is the LCM of 22413 and 22420?

Answer: LCM of 22413 and 22420 is 502499460.

2. What are the Factors of 22413?

Answer: Factors of 22413 are 1, 3, 31, 93, 241, 723, 7471, 22413. There are 8 integers that are factors of 22413. The greatest factor of 22413 is 22413.

3. What are the Factors of 22420?

Answer: Factors of 22420 are 1, 2, 4, 5, 10, 19, 20, 38, 59, 76, 95, 118, 190, 236, 295, 380, 590, 1121, 1180, 2242, 4484, 5605, 11210, 22420. There are 24 integers that are factors of 22420. The greatest factor of 22420 is 22420.

4. How to Find the LCM of 22413 and 22420?

Answer:

Least Common Multiple of 22413 and 22420 = 502499460

Step 1: Find the prime factorization of 22413

22413 = 3 x 31 x 241

Step 2: Find the prime factorization of 22420

22420 = 2 x 2 x 5 x 19 x 59

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

LCM = 502499460 = 2 x 2 x 3 x 5 x 19 x 31 x 59 x 241

Step 4: Therefore, the least common multiple of 22413 and 22420 is 502499460.