Least Common Multiple of 4196 and 4203

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 4203 the smallest integer that is 17635788 that is divisible by both numbers.

Least Common Multiple (LCM) of 4196 and 4203 is 17635788.

LCM(4196,4203) = 17635788

LCM of 4196 and 4203

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

LCM of:
and

Least Common Multiple of 4196 and 4203

LCM of 4196 and 4203 is 17635788

Least common multiple can be found by multiplying the highest exponent prime factors of 4196 and 4203. First we will calculate the prime factors of 4196 and 4203.

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 4203


3 4203
3 1401
467 467
1

Prime factors of 4203 are 3,467. Prime factorization of 4203 in exponential form is:

4203 = 32×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 4196 and 4203.

LCM(4196,4203) = 22×32×4671×10491
LCM(4196,4203) = 17635788

Factors of 4196

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

1, 2, 4, 1049, 2098, 4196

Factors of 4203

List of positive integer factors of 4203 that divides 4203 without a remainder.

1, 3, 9, 467, 1401, 4203

Least Common Multiple of 4196 and 4203 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 4203, than apply into the LCM equation.

GCF(4196,4203) = 1
LCM(4196,4203) = ( 4196 × 4203) / 1
LCM(4196,4203) = 17635788 / 1
LCM(4196,4203) = 17635788

Properties of LCM 4196 and 4203

(i) The LCM of 4203 and 4196 is associative

LCM of 4196 and 4203 = LCM of 4203 and 4196

Related Least Common Multiples of 4196

Related Least Common Multiples of 4203

Frequently Asked Questions on LCM of 4196 and 4203

1. What is the LCM of 4196 and 4203?

Answer: LCM of 4196 and 4203 is 17635788.

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 4203?

Answer: Factors of 4203 are 1, 3, 9, 467, 1401, 4203. There are 6 integers that are factors of 4203. The greatest factor of 4203 is 4203.

4. How to Find the LCM of 4196 and 4203?

Answer:

Least Common Multiple of 4196 and 4203 = 17635788

Step 1: Find the prime factorization of 4196

4196 = 2 x 2 x 1049

Step 2: Find the prime factorization of 4203

4203 = 3 x 3 x 467

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

LCM = 17635788 = 2 x 2 x 3 x 3 x 467 x 1049

Step 4: Therefore, the least common multiple of 4196 and 4203 is 17635788.