Least Common Multiple of 4201 and 4206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4201 and 4206 the smallest integer that is 17669406 that is divisible by both numbers.

Least Common Multiple (LCM) of 4201 and 4206 is 17669406.

LCM(4201,4206) = 17669406

LCM of 4201 and 4206

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

LCM of:
and

Least Common Multiple of 4201 and 4206

LCM of 4201 and 4206 is 17669406

Least common multiple can be found by multiplying the highest exponent prime factors of 4201 and 4206. First we will calculate the prime factors of 4201 and 4206.

Prime Factorization of 4201


4201 4201
1

Prime factors of 4201 are 4201. Prime factorization of 4201 in exponential form is:

4201 = 42011

Prime Factorization of 4206


2 4206
3 2103
701 701
1

Prime factors of 4206 are 2, 3,701. Prime factorization of 4206 in exponential form is:

4206 = 21×31×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 4201 and 4206.

LCM(4201,4206) = 21×31×7011×42011
LCM(4201,4206) = 17669406

Factors of 4201

List of positive integer factors of 4201 that divides 4201 without a remainder.

1, 4201

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1, 2, 3, 6, 701, 1402, 2103, 4206

Least Common Multiple of 4201 and 4206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4201 and 4206, than apply into the LCM equation.

GCF(4201,4206) = 1
LCM(4201,4206) = ( 4201 × 4206) / 1
LCM(4201,4206) = 17669406 / 1
LCM(4201,4206) = 17669406

Properties of LCM 4201 and 4206

(i) The LCM of 4206 and 4201 is associative

LCM of 4201 and 4206 = LCM of 4206 and 4201

Related Least Common Multiples of 4201

Related Least Common Multiples of 4206

Frequently Asked Questions on LCM of 4201 and 4206

1. What is the LCM of 4201 and 4206?

Answer: LCM of 4201 and 4206 is 17669406.

2. What are the Factors of 4201?

Answer: Factors of 4201 are 1, 4201. There are 2 integers that are factors of 4201. The greatest factor of 4201 is 4201.

3. What are the Factors of 4206?

Answer: Factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206. There are 8 integers that are factors of 4206. The greatest factor of 4206 is 4206.

4. How to Find the LCM of 4201 and 4206?

Answer:

Least Common Multiple of 4201 and 4206 = 17669406

Step 1: Find the prime factorization of 4201

4201 = 4201

Step 2: Find the prime factorization of 4206

4206 = 2 x 3 x 701

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

LCM = 17669406 = 2 x 3 x 701 x 4201

Step 4: Therefore, the least common multiple of 4201 and 4206 is 17669406.