Least Common Multiple of 7201 and 7208

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 7208 the smallest integer that is 51904808 that is divisible by both numbers.

Least Common Multiple (LCM) of 7201 and 7208 is 51904808.

LCM(7201,7208) = 51904808

LCM of 7201 and 7208

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

LCM of:
and

Least Common Multiple of 7201 and 7208

LCM of 7201 and 7208 is 51904808

Least common multiple can be found by multiplying the highest exponent prime factors of 7201 and 7208. First we will calculate the prime factors of 7201 and 7208.

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 7208


2 7208
2 3604
2 1802
17 901
53 53
1

Prime factors of 7208 are 2, 17,53. Prime factorization of 7208 in exponential form is:

7208 = 23×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7201 and 7208.

LCM(7201,7208) = 23×171×191×531×3791
LCM(7201,7208) = 51904808

Factors of 7201

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

1, 19, 379, 7201

Factors of 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208

Least Common Multiple of 7201 and 7208 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 7208, than apply into the LCM equation.

GCF(7201,7208) = 1
LCM(7201,7208) = ( 7201 × 7208) / 1
LCM(7201,7208) = 51904808 / 1
LCM(7201,7208) = 51904808

Properties of LCM 7201 and 7208

(i) The LCM of 7208 and 7201 is associative

LCM of 7201 and 7208 = LCM of 7208 and 7201

Related Least Common Multiples of 7201

Related Least Common Multiples of 7208

Frequently Asked Questions on LCM of 7201 and 7208

1. What is the LCM of 7201 and 7208?

Answer: LCM of 7201 and 7208 is 51904808.

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 7208?

Answer: Factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208. There are 16 integers that are factors of 7208. The greatest factor of 7208 is 7208.

4. How to Find the LCM of 7201 and 7208?

Answer:

Least Common Multiple of 7201 and 7208 = 51904808

Step 1: Find the prime factorization of 7201

7201 = 19 x 379

Step 2: Find the prime factorization of 7208

7208 = 2 x 2 x 2 x 17 x 53

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

LCM = 51904808 = 2 x 2 x 2 x 17 x 19 x 53 x 379

Step 4: Therefore, the least common multiple of 7201 and 7208 is 51904808.