Least Common Multiple of 11416 and 11420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11416 and 11420 the smallest integer that is 32592680 that is divisible by both numbers.

Least Common Multiple (LCM) of 11416 and 11420 is 32592680.

LCM(11416,11420) = 32592680

LCM of 11416 and 11420

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

LCM of:
and

Least Common Multiple of 11416 and 11420

LCM of 11416 and 11420 is 32592680

Least common multiple can be found by multiplying the highest exponent prime factors of 11416 and 11420. First we will calculate the prime factors of 11416 and 11420.

Prime Factorization of 11416


2 11416
2 5708
2 2854
1427 1427
1

Prime factors of 11416 are 2,1427. Prime factorization of 11416 in exponential form is:

11416 = 23×14271

Prime Factorization of 11420


2 11420
2 5710
5 2855
571 571
1

Prime factors of 11420 are 2, 5,571. Prime factorization of 11420 in exponential form is:

11420 = 22×51×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 11416 and 11420.

LCM(11416,11420) = 23×51×5711×14271
LCM(11416,11420) = 32592680

Factors of 11416

List of positive integer factors of 11416 that divides 11416 without a remainder.

1, 2, 4, 8, 1427, 2854, 5708, 11416

Factors of 11420

List of positive integer factors of 11420 that divides 11420 without a remainder.

1, 2, 4, 5, 10, 20, 571, 1142, 2284, 2855, 5710, 11420

Least Common Multiple of 11416 and 11420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11416 and 11420, than apply into the LCM equation.

GCF(11416,11420) = 4
LCM(11416,11420) = ( 11416 × 11420) / 4
LCM(11416,11420) = 130370720 / 4
LCM(11416,11420) = 32592680

Properties of LCM 11416 and 11420

(i) The LCM of 11420 and 11416 is associative

LCM of 11416 and 11420 = LCM of 11420 and 11416

Related Least Common Multiples of 11416

Related Least Common Multiples of 11420

Frequently Asked Questions on LCM of 11416 and 11420

1. What is the LCM of 11416 and 11420?

Answer: LCM of 11416 and 11420 is 32592680.

2. What are the Factors of 11416?

Answer: Factors of 11416 are 1, 2, 4, 8, 1427, 2854, 5708, 11416. There are 8 integers that are factors of 11416. The greatest factor of 11416 is 11416.

3. What are the Factors of 11420?

Answer: Factors of 11420 are 1, 2, 4, 5, 10, 20, 571, 1142, 2284, 2855, 5710, 11420. There are 12 integers that are factors of 11420. The greatest factor of 11420 is 11420.

4. How to Find the LCM of 11416 and 11420?

Answer:

Least Common Multiple of 11416 and 11420 = 32592680

Step 1: Find the prime factorization of 11416

11416 = 2 x 2 x 2 x 1427

Step 2: Find the prime factorization of 11420

11420 = 2 x 2 x 5 x 571

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

LCM = 32592680 = 2 x 2 x 2 x 5 x 571 x 1427

Step 4: Therefore, the least common multiple of 11416 and 11420 is 32592680.