Least Common Multiple of 7216 and 7222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7216 and 7222 the smallest integer that is 26056976 that is divisible by both numbers.

Least Common Multiple (LCM) of 7216 and 7222 is 26056976.

LCM(7216,7222) = 26056976

LCM of 7216 and 7222

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

LCM of:
and

Least Common Multiple of 7216 and 7222

LCM of 7216 and 7222 is 26056976

Least common multiple can be found by multiplying the highest exponent prime factors of 7216 and 7222. First we will calculate the prime factors of 7216 and 7222.

Prime Factorization of 7216


2 7216
2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 7216 are 2, 11,41. Prime factorization of 7216 in exponential form is:

7216 = 24×111×411

Prime Factorization of 7222


2 7222
23 3611
157 157
1

Prime factors of 7222 are 2, 23,157. Prime factorization of 7222 in exponential form is:

7222 = 21×231×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 7216 and 7222.

LCM(7216,7222) = 24×111×231×411×1571
LCM(7216,7222) = 26056976

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1, 2, 23, 46, 157, 314, 3611, 7222

Least Common Multiple of 7216 and 7222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7216 and 7222, than apply into the LCM equation.

GCF(7216,7222) = 2
LCM(7216,7222) = ( 7216 × 7222) / 2
LCM(7216,7222) = 52113952 / 2
LCM(7216,7222) = 26056976

Properties of LCM 7216 and 7222

(i) The LCM of 7222 and 7216 is associative

LCM of 7216 and 7222 = LCM of 7222 and 7216

Related Least Common Multiples of 7216

Related Least Common Multiples of 7222

Frequently Asked Questions on LCM of 7216 and 7222

1. What is the LCM of 7216 and 7222?

Answer: LCM of 7216 and 7222 is 26056976.

2. What are the Factors of 7216?

Answer: Factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216. There are 20 integers that are factors of 7216. The greatest factor of 7216 is 7216.

3. What are the Factors of 7222?

Answer: Factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222. There are 8 integers that are factors of 7222. The greatest factor of 7222 is 7222.

4. How to Find the LCM of 7216 and 7222?

Answer:

Least Common Multiple of 7216 and 7222 = 26056976

Step 1: Find the prime factorization of 7216

7216 = 2 x 2 x 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 7222

7222 = 2 x 23 x 157

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

LCM = 26056976 = 2 x 2 x 2 x 2 x 11 x 23 x 41 x 157

Step 4: Therefore, the least common multiple of 7216 and 7222 is 26056976.