Least Common Multiple of 196 and 203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 196 and 203 the smallest integer that is 5684 that is divisible by both numbers.

Least Common Multiple (LCM) of 196 and 203 is 5684.

LCM(196,203) = 5684

LCM of 196 and 203

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

LCM of:
and

Least Common Multiple of 196 and 203

LCM of 196 and 203 is 5684

Least common multiple can be found by multiplying the highest exponent prime factors of 196 and 203. First we will calculate the prime factors of 196 and 203.

Prime Factorization of 196


2 196
2 98
7 49
7 7
1

Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:

196 = 22×72

Prime Factorization of 203


7 203
29 29
1

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 196 and 203.

LCM(196,203) = 22×72×291
LCM(196,203) = 5684

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Least Common Multiple of 196 and 203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 196 and 203, than apply into the LCM equation.

GCF(196,203) = 7
LCM(196,203) = ( 196 × 203) / 7
LCM(196,203) = 39788 / 7
LCM(196,203) = 5684

Properties of LCM 196 and 203

(i) The LCM of 203 and 196 is associative

LCM of 196 and 203 = LCM of 203 and 196

Related Least Common Multiples of 196

Related Least Common Multiples of 203

Frequently Asked Questions on LCM of 196 and 203

1. What is the LCM of 196 and 203?

Answer: LCM of 196 and 203 is 5684.

2. What are the Factors of 196?

Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.

3. What are the Factors of 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

4. How to Find the LCM of 196 and 203?

Answer:

Least Common Multiple of 196 and 203 = 5684

Step 1: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 203

203 = 7 x 29

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

LCM = 5684 = 2 x 2 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 196 and 203 is 5684.