Least Common Multiple of 7201 and 7206

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 7206 the smallest integer that is 51890406 that is divisible by both numbers.

Least Common Multiple (LCM) of 7201 and 7206 is 51890406.

LCM(7201,7206) = 51890406

LCM of 7201 and 7206

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

LCM of:
and

Least Common Multiple of 7201 and 7206

LCM of 7201 and 7206 is 51890406

Least common multiple can be found by multiplying the highest exponent prime factors of 7201 and 7206. First we will calculate the prime factors of 7201 and 7206.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7201 and 7206.

LCM(7201,7206) = 21×31×191×3791×12011
LCM(7201,7206) = 51890406

Factors of 7201

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

1, 19, 379, 7201

Factors of 7206

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

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

Least Common Multiple of 7201 and 7206 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 7206, than apply into the LCM equation.

GCF(7201,7206) = 1
LCM(7201,7206) = ( 7201 × 7206) / 1
LCM(7201,7206) = 51890406 / 1
LCM(7201,7206) = 51890406

Properties of LCM 7201 and 7206

(i) The LCM of 7206 and 7201 is associative

LCM of 7201 and 7206 = LCM of 7206 and 7201

Related Least Common Multiples of 7201

Related Least Common Multiples of 7206

Frequently Asked Questions on LCM of 7201 and 7206

1. What is the LCM of 7201 and 7206?

Answer: LCM of 7201 and 7206 is 51890406.

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 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.

4. How to Find the LCM of 7201 and 7206?

Answer:

Least Common Multiple of 7201 and 7206 = 51890406

Step 1: Find the prime factorization of 7201

7201 = 19 x 379

Step 2: Find the prime factorization of 7206

7206 = 2 x 3 x 1201

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

LCM = 51890406 = 2 x 3 x 19 x 379 x 1201

Step 4: Therefore, the least common multiple of 7201 and 7206 is 51890406.