Least Common Multiple of 16220 and 16228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16220 and 16228 the smallest integer that is 65804540 that is divisible by both numbers.

Least Common Multiple (LCM) of 16220 and 16228 is 65804540.

LCM(16220,16228) = 65804540

LCM of 16220 and 16228

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

LCM of:
and

Least Common Multiple of 16220 and 16228

LCM of 16220 and 16228 is 65804540

Least common multiple can be found by multiplying the highest exponent prime factors of 16220 and 16228. First we will calculate the prime factors of 16220 and 16228.

Prime Factorization of 16220


2 16220
2 8110
5 4055
811 811
1

Prime factors of 16220 are 2, 5,811. Prime factorization of 16220 in exponential form is:

16220 = 22×51×8111

Prime Factorization of 16228


2 16228
2 8114
4057 4057
1

Prime factors of 16228 are 2,4057. Prime factorization of 16228 in exponential form is:

16228 = 22×40571

Now multiplying the highest exponent prime factors to calculate the LCM of 16220 and 16228.

LCM(16220,16228) = 22×51×8111×40571
LCM(16220,16228) = 65804540

Factors of 16220

List of positive integer factors of 16220 that divides 16220 without a remainder.

1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220

Factors of 16228

List of positive integer factors of 16228 that divides 16228 without a remainder.

1, 2, 4, 4057, 8114, 16228

Least Common Multiple of 16220 and 16228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16220 and 16228, than apply into the LCM equation.

GCF(16220,16228) = 4
LCM(16220,16228) = ( 16220 × 16228) / 4
LCM(16220,16228) = 263218160 / 4
LCM(16220,16228) = 65804540

Properties of LCM 16220 and 16228

(i) The LCM of 16228 and 16220 is associative

LCM of 16220 and 16228 = LCM of 16228 and 16220

Related Least Common Multiples of 16220

Related Least Common Multiples of 16228

Frequently Asked Questions on LCM of 16220 and 16228

1. What is the LCM of 16220 and 16228?

Answer: LCM of 16220 and 16228 is 65804540.

2. What are the Factors of 16220?

Answer: Factors of 16220 are 1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220. There are 12 integers that are factors of 16220. The greatest factor of 16220 is 16220.

3. What are the Factors of 16228?

Answer: Factors of 16228 are 1, 2, 4, 4057, 8114, 16228. There are 6 integers that are factors of 16228. The greatest factor of 16228 is 16228.

4. How to Find the LCM of 16220 and 16228?

Answer:

Least Common Multiple of 16220 and 16228 = 65804540

Step 1: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

Step 2: Find the prime factorization of 16228

16228 = 2 x 2 x 4057

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

LCM = 65804540 = 2 x 2 x 5 x 811 x 4057

Step 4: Therefore, the least common multiple of 16220 and 16228 is 65804540.