Least Common Multiple of 7209 and 7212

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 7212 the smallest integer that is 17330436 that is divisible by both numbers.

Least Common Multiple (LCM) of 7209 and 7212 is 17330436.

LCM(7209,7212) = 17330436

LCM of 7209 and 7212

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

LCM of:
and

Least Common Multiple of 7209 and 7212

LCM of 7209 and 7212 is 17330436

Least common multiple can be found by multiplying the highest exponent prime factors of 7209 and 7212. First we will calculate the prime factors of 7209 and 7212.

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 7212


2 7212
2 3606
3 1803
601 601
1

Prime factors of 7212 are 2, 3,601. Prime factorization of 7212 in exponential form is:

7212 = 22×31×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 7209 and 7212.

LCM(7209,7212) = 22×34×891×6011
LCM(7209,7212) = 17330436

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 7212

List of positive integer factors of 7212 that divides 7212 without a remainder.

1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212

Least Common Multiple of 7209 and 7212 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 7212, than apply into the LCM equation.

GCF(7209,7212) = 3
LCM(7209,7212) = ( 7209 × 7212) / 3
LCM(7209,7212) = 51991308 / 3
LCM(7209,7212) = 17330436

Properties of LCM 7209 and 7212

(i) The LCM of 7212 and 7209 is associative

LCM of 7209 and 7212 = LCM of 7212 and 7209

Related Least Common Multiples of 7209

Related Least Common Multiples of 7212

Frequently Asked Questions on LCM of 7209 and 7212

1. What is the LCM of 7209 and 7212?

Answer: LCM of 7209 and 7212 is 17330436.

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 7212?

Answer: Factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212. There are 12 integers that are factors of 7212. The greatest factor of 7212 is 7212.

4. How to Find the LCM of 7209 and 7212?

Answer:

Least Common Multiple of 7209 and 7212 = 17330436

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 7212

7212 = 2 x 2 x 3 x 601

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

LCM = 17330436 = 2 x 2 x 3 x 3 x 3 x 3 x 89 x 601

Step 4: Therefore, the least common multiple of 7209 and 7212 is 17330436.