Least Common Multiple of 4216 and 4222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4216 and 4222 the smallest integer that is 8899976 that is divisible by both numbers.

Least Common Multiple (LCM) of 4216 and 4222 is 8899976.

LCM(4216,4222) = 8899976

LCM of 4216 and 4222

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

LCM of:
and

Least Common Multiple of 4216 and 4222

LCM of 4216 and 4222 is 8899976

Least common multiple can be found by multiplying the highest exponent prime factors of 4216 and 4222. First we will calculate the prime factors of 4216 and 4222.

Prime Factorization of 4216


2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 4216 are 2, 17,31. Prime factorization of 4216 in exponential form is:

4216 = 23×171×311

Prime Factorization of 4222


2 4222
2111 2111
1

Prime factors of 4222 are 2,2111. Prime factorization of 4222 in exponential form is:

4222 = 21×21111

Now multiplying the highest exponent prime factors to calculate the LCM of 4216 and 4222.

LCM(4216,4222) = 23×171×311×21111
LCM(4216,4222) = 8899976

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216

Factors of 4222

List of positive integer factors of 4222 that divides 4222 without a remainder.

1, 2, 2111, 4222

Least Common Multiple of 4216 and 4222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4216 and 4222, than apply into the LCM equation.

GCF(4216,4222) = 2
LCM(4216,4222) = ( 4216 × 4222) / 2
LCM(4216,4222) = 17799952 / 2
LCM(4216,4222) = 8899976

Properties of LCM 4216 and 4222

(i) The LCM of 4222 and 4216 is associative

LCM of 4216 and 4222 = LCM of 4222 and 4216

Related Least Common Multiples of 4216

Related Least Common Multiples of 4222

Frequently Asked Questions on LCM of 4216 and 4222

1. What is the LCM of 4216 and 4222?

Answer: LCM of 4216 and 4222 is 8899976.

2. What are the Factors of 4216?

Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.

3. What are the Factors of 4222?

Answer: Factors of 4222 are 1, 2, 2111, 4222. There are 4 integers that are factors of 4222. The greatest factor of 4222 is 4222.

4. How to Find the LCM of 4216 and 4222?

Answer:

Least Common Multiple of 4216 and 4222 = 8899976

Step 1: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

Step 2: Find the prime factorization of 4222

4222 = 2 x 2111

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

LCM = 8899976 = 2 x 2 x 2 x 17 x 31 x 2111

Step 4: Therefore, the least common multiple of 4216 and 4222 is 8899976.