Least Common Multiple of 4196 and 4201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4196 and 4201 the smallest integer that is 17627396 that is divisible by both numbers.

Least Common Multiple (LCM) of 4196 and 4201 is 17627396.

LCM(4196,4201) = 17627396

LCM of 4196 and 4201

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

LCM of:
and

Least Common Multiple of 4196 and 4201

LCM of 4196 and 4201 is 17627396

Least common multiple can be found by multiplying the highest exponent prime factors of 4196 and 4201. First we will calculate the prime factors of 4196 and 4201.

Prime Factorization of 4196


2 4196
2 2098
1049 1049
1

Prime factors of 4196 are 2,1049. Prime factorization of 4196 in exponential form is:

4196 = 22×10491

Prime Factorization of 4201


4201 4201
1

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

4201 = 42011

Now multiplying the highest exponent prime factors to calculate the LCM of 4196 and 4201.

LCM(4196,4201) = 22×10491×42011
LCM(4196,4201) = 17627396

Factors of 4196

List of positive integer factors of 4196 that divides 4196 without a remainder.

1, 2, 4, 1049, 2098, 4196

Factors of 4201

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

1, 4201

Least Common Multiple of 4196 and 4201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4196 and 4201, than apply into the LCM equation.

GCF(4196,4201) = 1
LCM(4196,4201) = ( 4196 × 4201) / 1
LCM(4196,4201) = 17627396 / 1
LCM(4196,4201) = 17627396

Properties of LCM 4196 and 4201

(i) The LCM of 4201 and 4196 is associative

LCM of 4196 and 4201 = LCM of 4201 and 4196

Related Least Common Multiples of 4196

Related Least Common Multiples of 4201

Frequently Asked Questions on LCM of 4196 and 4201

1. What is the LCM of 4196 and 4201?

Answer: LCM of 4196 and 4201 is 17627396.

2. What are the Factors of 4196?

Answer: Factors of 4196 are 1, 2, 4, 1049, 2098, 4196. There are 6 integers that are factors of 4196. The greatest factor of 4196 is 4196.

3. 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.

4. How to Find the LCM of 4196 and 4201?

Answer:

Least Common Multiple of 4196 and 4201 = 17627396

Step 1: Find the prime factorization of 4196

4196 = 2 x 2 x 1049

Step 2: Find the prime factorization of 4201

4201 = 4201

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

LCM = 17627396 = 2 x 2 x 1049 x 4201

Step 4: Therefore, the least common multiple of 4196 and 4201 is 17627396.