Least Common Multiple of 4196 and 4204

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 4204 the smallest integer that is 4409996 that is divisible by both numbers.

Least Common Multiple (LCM) of 4196 and 4204 is 4409996.

LCM(4196,4204) = 4409996

LCM of 4196 and 4204

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

LCM of:
and

Least Common Multiple of 4196 and 4204

LCM of 4196 and 4204 is 4409996

Least common multiple can be found by multiplying the highest exponent prime factors of 4196 and 4204. First we will calculate the prime factors of 4196 and 4204.

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 4204


2 4204
2 2102
1051 1051
1

Prime factors of 4204 are 2,1051. Prime factorization of 4204 in exponential form is:

4204 = 22×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 4196 and 4204.

LCM(4196,4204) = 22×10491×10511
LCM(4196,4204) = 4409996

Factors of 4196

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

1, 2, 4, 1049, 2098, 4196

Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1, 2, 4, 1051, 2102, 4204

Least Common Multiple of 4196 and 4204 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 4204, than apply into the LCM equation.

GCF(4196,4204) = 4
LCM(4196,4204) = ( 4196 × 4204) / 4
LCM(4196,4204) = 17639984 / 4
LCM(4196,4204) = 4409996

Properties of LCM 4196 and 4204

(i) The LCM of 4204 and 4196 is associative

LCM of 4196 and 4204 = LCM of 4204 and 4196

Related Least Common Multiples of 4196

Related Least Common Multiples of 4204

Frequently Asked Questions on LCM of 4196 and 4204

1. What is the LCM of 4196 and 4204?

Answer: LCM of 4196 and 4204 is 4409996.

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 4204?

Answer: Factors of 4204 are 1, 2, 4, 1051, 2102, 4204. There are 6 integers that are factors of 4204. The greatest factor of 4204 is 4204.

4. How to Find the LCM of 4196 and 4204?

Answer:

Least Common Multiple of 4196 and 4204 = 4409996

Step 1: Find the prime factorization of 4196

4196 = 2 x 2 x 1049

Step 2: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

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

LCM = 4409996 = 2 x 2 x 1049 x 1051

Step 4: Therefore, the least common multiple of 4196 and 4204 is 4409996.