Least Common Multiple of 7206 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 7206 and 7212 the smallest integer that is 8661612 that is divisible by both numbers.

Least Common Multiple (LCM) of 7206 and 7212 is 8661612.

LCM(7206,7212) = 8661612

LCM of 7206 and 7212

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

LCM of:
and

Least Common Multiple of 7206 and 7212

LCM of 7206 and 7212 is 8661612

Least common multiple can be found by multiplying the highest exponent prime factors of 7206 and 7212. First we will calculate the prime factors of 7206 and 7212.

Prime Factorization of 7206


2 7206
3 3603
1201 1201
1

Prime factors of 7206 are 2, 3,1201. Prime factorization of 7206 in exponential form is:

7206 = 21×31×12011

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 7206 and 7212.

LCM(7206,7212) = 22×31×6011×12011
LCM(7206,7212) = 8661612

Factors of 7206

List of positive integer factors of 7206 that divides 7206 without a remainder.

1, 2, 3, 6, 1201, 2402, 3603, 7206

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 7206 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 7206 and 7212, than apply into the LCM equation.

GCF(7206,7212) = 6
LCM(7206,7212) = ( 7206 × 7212) / 6
LCM(7206,7212) = 51969672 / 6
LCM(7206,7212) = 8661612

Properties of LCM 7206 and 7212

(i) The LCM of 7212 and 7206 is associative

LCM of 7206 and 7212 = LCM of 7212 and 7206

Related Least Common Multiples of 7206

Related Least Common Multiples of 7212

Frequently Asked Questions on LCM of 7206 and 7212

1. What is the LCM of 7206 and 7212?

Answer: LCM of 7206 and 7212 is 8661612.

2. What are the Factors of 7206?

Answer: Factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206. There are 8 integers that are factors of 7206. The greatest factor of 7206 is 7206.

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 7206 and 7212?

Answer:

Least Common Multiple of 7206 and 7212 = 8661612

Step 1: Find the prime factorization of 7206

7206 = 2 x 3 x 1201

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 = 8661612 = 2 x 2 x 3 x 601 x 1201

Step 4: Therefore, the least common multiple of 7206 and 7212 is 8661612.