Least Common Multiple of 7209 and 7214

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 7214 the smallest integer that is 52005726 that is divisible by both numbers.

Least Common Multiple (LCM) of 7209 and 7214 is 52005726.

LCM(7209,7214) = 52005726

LCM of 7209 and 7214

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

LCM of:
and

Least Common Multiple of 7209 and 7214

LCM of 7209 and 7214 is 52005726

Least common multiple can be found by multiplying the highest exponent prime factors of 7209 and 7214. First we will calculate the prime factors of 7209 and 7214.

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 7214


2 7214
3607 3607
1

Prime factors of 7214 are 2,3607. Prime factorization of 7214 in exponential form is:

7214 = 21×36071

Now multiplying the highest exponent prime factors to calculate the LCM of 7209 and 7214.

LCM(7209,7214) = 21×34×891×36071
LCM(7209,7214) = 52005726

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 7214

List of positive integer factors of 7214 that divides 7214 without a remainder.

1, 2, 3607, 7214

Least Common Multiple of 7209 and 7214 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 7214, than apply into the LCM equation.

GCF(7209,7214) = 1
LCM(7209,7214) = ( 7209 × 7214) / 1
LCM(7209,7214) = 52005726 / 1
LCM(7209,7214) = 52005726

Properties of LCM 7209 and 7214

(i) The LCM of 7214 and 7209 is associative

LCM of 7209 and 7214 = LCM of 7214 and 7209

Related Least Common Multiples of 7209

Related Least Common Multiples of 7214

Frequently Asked Questions on LCM of 7209 and 7214

1. What is the LCM of 7209 and 7214?

Answer: LCM of 7209 and 7214 is 52005726.

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 7214?

Answer: Factors of 7214 are 1, 2, 3607, 7214. There are 4 integers that are factors of 7214. The greatest factor of 7214 is 7214.

4. How to Find the LCM of 7209 and 7214?

Answer:

Least Common Multiple of 7209 and 7214 = 52005726

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 7214

7214 = 2 x 3607

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

LCM = 52005726 = 2 x 3 x 3 x 3 x 3 x 89 x 3607

Step 4: Therefore, the least common multiple of 7209 and 7214 is 52005726.