Least Common Multiple of 16216 and 16220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16216 and 16220 the smallest integer that is 65755880 that is divisible by both numbers.

Least Common Multiple (LCM) of 16216 and 16220 is 65755880.

LCM(16216,16220) = 65755880

LCM of 16216 and 16220

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

LCM of:
and

Least Common Multiple of 16216 and 16220

LCM of 16216 and 16220 is 65755880

Least common multiple can be found by multiplying the highest exponent prime factors of 16216 and 16220. First we will calculate the prime factors of 16216 and 16220.

Prime Factorization of 16216


2 16216
2 8108
2 4054
2027 2027
1

Prime factors of 16216 are 2,2027. Prime factorization of 16216 in exponential form is:

16216 = 23×20271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16216 and 16220.

LCM(16216,16220) = 23×51×8111×20271
LCM(16216,16220) = 65755880

Factors of 16216

List of positive integer factors of 16216 that divides 16216 without a remainder.

1, 2, 4, 8, 2027, 4054, 8108, 16216

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

Least Common Multiple of 16216 and 16220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16216 and 16220, than apply into the LCM equation.

GCF(16216,16220) = 4
LCM(16216,16220) = ( 16216 × 16220) / 4
LCM(16216,16220) = 263023520 / 4
LCM(16216,16220) = 65755880

Properties of LCM 16216 and 16220

(i) The LCM of 16220 and 16216 is associative

LCM of 16216 and 16220 = LCM of 16220 and 16216

Related Least Common Multiples of 16216

Related Least Common Multiples of 16220

Frequently Asked Questions on LCM of 16216 and 16220

1. What is the LCM of 16216 and 16220?

Answer: LCM of 16216 and 16220 is 65755880.

2. What are the Factors of 16216?

Answer: Factors of 16216 are 1, 2, 4, 8, 2027, 4054, 8108, 16216. There are 8 integers that are factors of 16216. The greatest factor of 16216 is 16216.

3. 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.

4. How to Find the LCM of 16216 and 16220?

Answer:

Least Common Multiple of 16216 and 16220 = 65755880

Step 1: Find the prime factorization of 16216

16216 = 2 x 2 x 2 x 2027

Step 2: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

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

LCM = 65755880 = 2 x 2 x 2 x 5 x 811 x 2027

Step 4: Therefore, the least common multiple of 16216 and 16220 is 65755880.