Least Common Multiple of 7201 and 7209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7201 and 7209 the smallest integer that is 51912009 that is divisible by both numbers.

Least Common Multiple (LCM) of 7201 and 7209 is 51912009.

LCM(7201,7209) = 51912009

LCM of 7201 and 7209

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

LCM of:
and

Least Common Multiple of 7201 and 7209

LCM of 7201 and 7209 is 51912009

Least common multiple can be found by multiplying the highest exponent prime factors of 7201 and 7209. First we will calculate the prime factors of 7201 and 7209.

Prime Factorization of 7201


19 7201
379 379
1

Prime factors of 7201 are 19,379. Prime factorization of 7201 in exponential form is:

7201 = 191×3791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7201 and 7209.

LCM(7201,7209) = 34×191×891×3791
LCM(7201,7209) = 51912009

Factors of 7201

List of positive integer factors of 7201 that divides 7201 without a remainder.

1, 19, 379, 7201

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

Least Common Multiple of 7201 and 7209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7201 and 7209, than apply into the LCM equation.

GCF(7201,7209) = 1
LCM(7201,7209) = ( 7201 × 7209) / 1
LCM(7201,7209) = 51912009 / 1
LCM(7201,7209) = 51912009

Properties of LCM 7201 and 7209

(i) The LCM of 7209 and 7201 is associative

LCM of 7201 and 7209 = LCM of 7209 and 7201

Related Least Common Multiples of 7201

Related Least Common Multiples of 7209

Frequently Asked Questions on LCM of 7201 and 7209

1. What is the LCM of 7201 and 7209?

Answer: LCM of 7201 and 7209 is 51912009.

2. What are the Factors of 7201?

Answer: Factors of 7201 are 1, 19, 379, 7201. There are 4 integers that are factors of 7201. The greatest factor of 7201 is 7201.

3. 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.

4. How to Find the LCM of 7201 and 7209?

Answer:

Least Common Multiple of 7201 and 7209 = 51912009

Step 1: Find the prime factorization of 7201

7201 = 19 x 379

Step 2: Find the prime factorization of 7209

7209 = 3 x 3 x 3 x 3 x 89

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

LCM = 51912009 = 3 x 3 x 3 x 3 x 19 x 89 x 379

Step 4: Therefore, the least common multiple of 7201 and 7209 is 51912009.