Least Common Multiple of 196 and 197

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 197 the smallest integer that is 38612 that is divisible by both numbers.

Least Common Multiple (LCM) of 196 and 197 is 38612.

LCM(196,197) = 38612

LCM of 196 and 197

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

LCM of:
and

Least Common Multiple of 196 and 197

LCM of 196 and 197 is 38612

Least common multiple can be found by multiplying the highest exponent prime factors of 196 and 197. First we will calculate the prime factors of 196 and 197.

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 197


197 197
1

Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:

197 = 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 196 and 197.

LCM(196,197) = 22×72×1971
LCM(196,197) = 38612

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 197

List of positive integer factors of 197 that divides 197 without a remainder.

1, 197

Least Common Multiple of 196 and 197 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 197, than apply into the LCM equation.

GCF(196,197) = 1
LCM(196,197) = ( 196 × 197) / 1
LCM(196,197) = 38612 / 1
LCM(196,197) = 38612

Properties of LCM 196 and 197

(i) The LCM of 197 and 196 is associative

LCM of 196 and 197 = LCM of 197 and 196

Related Least Common Multiples of 196

Related Least Common Multiples of 197

Frequently Asked Questions on LCM of 196 and 197

1. What is the LCM of 196 and 197?

Answer: LCM of 196 and 197 is 38612.

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 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

4. How to Find the LCM of 196 and 197?

Answer:

Least Common Multiple of 196 and 197 = 38612

Step 1: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 197

197 = 197

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

LCM = 38612 = 2 x 2 x 7 x 7 x 197

Step 4: Therefore, the least common multiple of 196 and 197 is 38612.