Least Common Multiple of 7209 and 7216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7209 and 7216 the smallest integer that is 52020144 that is divisible by both numbers.

Least Common Multiple (LCM) of 7209 and 7216 is 52020144.

LCM(7209,7216) = 52020144

LCM of 7209 and 7216

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

LCM of:
and

Least Common Multiple of 7209 and 7216

LCM of 7209 and 7216 is 52020144

Least common multiple can be found by multiplying the highest exponent prime factors of 7209 and 7216. First we will calculate the prime factors of 7209 and 7216.

Prime Factorization of 7209


3 7209
3 2403
3 801
3 267
89 89
1

Prime factors of 7209 are 3,89. Prime factorization of 7209 in exponential form is:

7209 = 34×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7209 and 7216.

LCM(7209,7216) = 24×34×111×411×891
LCM(7209,7216) = 52020144

Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209

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

Least Common Multiple of 7209 and 7216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7209 and 7216, than apply into the LCM equation.

GCF(7209,7216) = 1
LCM(7209,7216) = ( 7209 × 7216) / 1
LCM(7209,7216) = 52020144 / 1
LCM(7209,7216) = 52020144

Properties of LCM 7209 and 7216

(i) The LCM of 7216 and 7209 is associative

LCM of 7209 and 7216 = LCM of 7216 and 7209

Related Least Common Multiples of 7209

Related Least Common Multiples of 7216

Frequently Asked Questions on LCM of 7209 and 7216

1. What is the LCM of 7209 and 7216?

Answer: LCM of 7209 and 7216 is 52020144.

2. What are the Factors of 7209?

Answer: Factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209. There are 10 integers that are factors of 7209. The greatest factor of 7209 is 7209.

3. 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.

4. How to Find the LCM of 7209 and 7216?

Answer:

Least Common Multiple of 7209 and 7216 = 52020144

Step 1: Find the prime factorization of 7209

7209 = 3 x 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 7216

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

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

LCM = 52020144 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 41 x 89

Step 4: Therefore, the least common multiple of 7209 and 7216 is 52020144.