Least Common Multiple of 20380 and 20384

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 20384 the smallest integer that is 103856480 that is divisible by both numbers.

Least Common Multiple (LCM) of 20380 and 20384 is 103856480.

LCM(20380,20384) = 103856480

LCM of 20380 and 20384

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

LCM of:
and

Least Common Multiple of 20380 and 20384

LCM of 20380 and 20384 is 103856480

Least common multiple can be found by multiplying the highest exponent prime factors of 20380 and 20384. First we will calculate the prime factors of 20380 and 20384.

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 20384


2 20384
2 10192
2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 20384 are 2, 7,13. Prime factorization of 20384 in exponential form is:

20384 = 25×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 20380 and 20384.

LCM(20380,20384) = 25×51×72×131×10191
LCM(20380,20384) = 103856480

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 20384

List of positive integer factors of 20384 that divides 20384 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192, 20384

Least Common Multiple of 20380 and 20384 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 20384, than apply into the LCM equation.

GCF(20380,20384) = 4
LCM(20380,20384) = ( 20380 × 20384) / 4
LCM(20380,20384) = 415425920 / 4
LCM(20380,20384) = 103856480

Properties of LCM 20380 and 20384

(i) The LCM of 20384 and 20380 is associative

LCM of 20380 and 20384 = LCM of 20384 and 20380

Related Least Common Multiples of 20380

Related Least Common Multiples of 20384

Frequently Asked Questions on LCM of 20380 and 20384

1. What is the LCM of 20380 and 20384?

Answer: LCM of 20380 and 20384 is 103856480.

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 20384?

Answer: Factors of 20384 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192, 20384. There are 36 integers that are factors of 20384. The greatest factor of 20384 is 20384.

4. How to Find the LCM of 20380 and 20384?

Answer:

Least Common Multiple of 20380 and 20384 = 103856480

Step 1: Find the prime factorization of 20380

20380 = 2 x 2 x 5 x 1019

Step 2: Find the prime factorization of 20384

20384 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 13

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

LCM = 103856480 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 13 x 1019

Step 4: Therefore, the least common multiple of 20380 and 20384 is 103856480.