Least Common Multiple of 20380 and 20388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20380 and 20388 the smallest integer that is 103876860 that is divisible by both numbers.

Least Common Multiple (LCM) of 20380 and 20388 is 103876860.

LCM(20380,20388) = 103876860

LCM of 20380 and 20388

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

LCM of:
and

Least Common Multiple of 20380 and 20388

LCM of 20380 and 20388 is 103876860

Least common multiple can be found by multiplying the highest exponent prime factors of 20380 and 20388. First we will calculate the prime factors of 20380 and 20388.

Prime Factorization of 20380


2 20380
2 10190
5 5095
1019 1019
1

Prime factors of 20380 are 2, 5,1019. Prime factorization of 20380 in exponential form is:

20380 = 22×51×10191

Prime Factorization of 20388


2 20388
2 10194
3 5097
1699 1699
1

Prime factors of 20388 are 2, 3,1699. Prime factorization of 20388 in exponential form is:

20388 = 22×31×16991

Now multiplying the highest exponent prime factors to calculate the LCM of 20380 and 20388.

LCM(20380,20388) = 22×31×51×10191×16991
LCM(20380,20388) = 103876860

Factors of 20380

List of positive integer factors of 20380 that divides 20380 without a remainder.

1, 2, 4, 5, 10, 20, 1019, 2038, 4076, 5095, 10190, 20380

Factors of 20388

List of positive integer factors of 20388 that divides 20388 without a remainder.

1, 2, 3, 4, 6, 12, 1699, 3398, 5097, 6796, 10194, 20388

Least Common Multiple of 20380 and 20388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20380 and 20388, than apply into the LCM equation.

GCF(20380,20388) = 4
LCM(20380,20388) = ( 20380 × 20388) / 4
LCM(20380,20388) = 415507440 / 4
LCM(20380,20388) = 103876860

Properties of LCM 20380 and 20388

(i) The LCM of 20388 and 20380 is associative

LCM of 20380 and 20388 = LCM of 20388 and 20380

Related Least Common Multiples of 20380

Related Least Common Multiples of 20388

Frequently Asked Questions on LCM of 20380 and 20388

1. What is the LCM of 20380 and 20388?

Answer: LCM of 20380 and 20388 is 103876860.

2. What are the Factors of 20380?

Answer: Factors of 20380 are 1, 2, 4, 5, 10, 20, 1019, 2038, 4076, 5095, 10190, 20380. There are 12 integers that are factors of 20380. The greatest factor of 20380 is 20380.

3. What are the Factors of 20388?

Answer: Factors of 20388 are 1, 2, 3, 4, 6, 12, 1699, 3398, 5097, 6796, 10194, 20388. There are 12 integers that are factors of 20388. The greatest factor of 20388 is 20388.

4. How to Find the LCM of 20380 and 20388?

Answer:

Least Common Multiple of 20380 and 20388 = 103876860

Step 1: Find the prime factorization of 20380

20380 = 2 x 2 x 5 x 1019

Step 2: Find the prime factorization of 20388

20388 = 2 x 2 x 3 x 1699

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

LCM = 103876860 = 2 x 2 x 3 x 5 x 1019 x 1699

Step 4: Therefore, the least common multiple of 20380 and 20388 is 103876860.