Least Common Multiple of 6201 and 6208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6201 and 6208 the smallest integer that is 38495808 that is divisible by both numbers.

Least Common Multiple (LCM) of 6201 and 6208 is 38495808.

LCM(6201,6208) = 38495808

LCM of 6201 and 6208

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

LCM of:
and

Least Common Multiple of 6201 and 6208

LCM of 6201 and 6208 is 38495808

Least common multiple can be found by multiplying the highest exponent prime factors of 6201 and 6208. First we will calculate the prime factors of 6201 and 6208.

Prime Factorization of 6201


3 6201
3 2067
13 689
53 53
1

Prime factors of 6201 are 3, 13,53. Prime factorization of 6201 in exponential form is:

6201 = 32×131×531

Prime Factorization of 6208


2 6208
2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 6208 are 2,97. Prime factorization of 6208 in exponential form is:

6208 = 26×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6201 and 6208.

LCM(6201,6208) = 26×32×131×531×971
LCM(6201,6208) = 38495808

Factors of 6201

List of positive integer factors of 6201 that divides 6201 without a remainder.

1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201

Factors of 6208

List of positive integer factors of 6208 that divides 6208 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208

Least Common Multiple of 6201 and 6208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6201 and 6208, than apply into the LCM equation.

GCF(6201,6208) = 1
LCM(6201,6208) = ( 6201 × 6208) / 1
LCM(6201,6208) = 38495808 / 1
LCM(6201,6208) = 38495808

Properties of LCM 6201 and 6208

(i) The LCM of 6208 and 6201 is associative

LCM of 6201 and 6208 = LCM of 6208 and 6201

Related Least Common Multiples of 6201

Related Least Common Multiples of 6208

Frequently Asked Questions on LCM of 6201 and 6208

1. What is the LCM of 6201 and 6208?

Answer: LCM of 6201 and 6208 is 38495808.

2. What are the Factors of 6201?

Answer: Factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201. There are 12 integers that are factors of 6201. The greatest factor of 6201 is 6201.

3. What are the Factors of 6208?

Answer: Factors of 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208. There are 14 integers that are factors of 6208. The greatest factor of 6208 is 6208.

4. How to Find the LCM of 6201 and 6208?

Answer:

Least Common Multiple of 6201 and 6208 = 38495808

Step 1: Find the prime factorization of 6201

6201 = 3 x 3 x 13 x 53

Step 2: Find the prime factorization of 6208

6208 = 2 x 2 x 2 x 2 x 2 x 2 x 97

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

LCM = 38495808 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 53 x 97

Step 4: Therefore, the least common multiple of 6201 and 6208 is 38495808.