Least Common Multiple of 3201 and 3202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3201 and 3202 the smallest integer that is 10249602 that is divisible by both numbers.

Least Common Multiple (LCM) of 3201 and 3202 is 10249602.

LCM(3201,3202) = 10249602

LCM of 3201 and 3202

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

LCM of:
and

Least Common Multiple of 3201 and 3202

LCM of 3201 and 3202 is 10249602

Least common multiple can be found by multiplying the highest exponent prime factors of 3201 and 3202. First we will calculate the prime factors of 3201 and 3202.

Prime Factorization of 3201


3 3201
11 1067
97 97
1

Prime factors of 3201 are 3, 11,97. Prime factorization of 3201 in exponential form is:

3201 = 31×111×971

Prime Factorization of 3202


2 3202
1601 1601
1

Prime factors of 3202 are 2,1601. Prime factorization of 3202 in exponential form is:

3202 = 21×16011

Now multiplying the highest exponent prime factors to calculate the LCM of 3201 and 3202.

LCM(3201,3202) = 21×31×111×971×16011
LCM(3201,3202) = 10249602

Factors of 3201

List of positive integer factors of 3201 that divides 3201 without a remainder.

1, 3, 11, 33, 97, 291, 1067, 3201

Factors of 3202

List of positive integer factors of 3202 that divides 3202 without a remainder.

1, 2, 1601, 3202

Least Common Multiple of 3201 and 3202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3201 and 3202, than apply into the LCM equation.

GCF(3201,3202) = 1
LCM(3201,3202) = ( 3201 × 3202) / 1
LCM(3201,3202) = 10249602 / 1
LCM(3201,3202) = 10249602

Properties of LCM 3201 and 3202

(i) The LCM of 3202 and 3201 is associative

LCM of 3201 and 3202 = LCM of 3202 and 3201

Related Least Common Multiples of 3201

Related Least Common Multiples of 3202

Frequently Asked Questions on LCM of 3201 and 3202

1. What is the LCM of 3201 and 3202?

Answer: LCM of 3201 and 3202 is 10249602.

2. What are the Factors of 3201?

Answer: Factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201. There are 8 integers that are factors of 3201. The greatest factor of 3201 is 3201.

3. What are the Factors of 3202?

Answer: Factors of 3202 are 1, 2, 1601, 3202. There are 4 integers that are factors of 3202. The greatest factor of 3202 is 3202.

4. How to Find the LCM of 3201 and 3202?

Answer:

Least Common Multiple of 3201 and 3202 = 10249602

Step 1: Find the prime factorization of 3201

3201 = 3 x 11 x 97

Step 2: Find the prime factorization of 3202

3202 = 2 x 1601

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

LCM = 10249602 = 2 x 3 x 11 x 97 x 1601

Step 4: Therefore, the least common multiple of 3201 and 3202 is 10249602.