Least Common Multiple of 7216 and 7221

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 7221 the smallest integer that is 52106736 that is divisible by both numbers.

Least Common Multiple (LCM) of 7216 and 7221 is 52106736.

LCM(7216,7221) = 52106736

LCM of 7216 and 7221

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

LCM of:
and

Least Common Multiple of 7216 and 7221

LCM of 7216 and 7221 is 52106736

Least common multiple can be found by multiplying the highest exponent prime factors of 7216 and 7221. First we will calculate the prime factors of 7216 and 7221.

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 7221


3 7221
29 2407
83 83
1

Prime factors of 7221 are 3, 29,83. Prime factorization of 7221 in exponential form is:

7221 = 31×291×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7216 and 7221.

LCM(7216,7221) = 24×31×111×291×411×831
LCM(7216,7221) = 52106736

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 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1, 3, 29, 83, 87, 249, 2407, 7221

Least Common Multiple of 7216 and 7221 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 7221, than apply into the LCM equation.

GCF(7216,7221) = 1
LCM(7216,7221) = ( 7216 × 7221) / 1
LCM(7216,7221) = 52106736 / 1
LCM(7216,7221) = 52106736

Properties of LCM 7216 and 7221

(i) The LCM of 7221 and 7216 is associative

LCM of 7216 and 7221 = LCM of 7221 and 7216

Related Least Common Multiples of 7216

Related Least Common Multiples of 7221

Frequently Asked Questions on LCM of 7216 and 7221

1. What is the LCM of 7216 and 7221?

Answer: LCM of 7216 and 7221 is 52106736.

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 7221?

Answer: Factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221. There are 8 integers that are factors of 7221. The greatest factor of 7221 is 7221.

4. How to Find the LCM of 7216 and 7221?

Answer:

Least Common Multiple of 7216 and 7221 = 52106736

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 7221

7221 = 3 x 29 x 83

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

LCM = 52106736 = 2 x 2 x 2 x 2 x 3 x 11 x 29 x 41 x 83

Step 4: Therefore, the least common multiple of 7216 and 7221 is 52106736.