Least Common Multiple of 192 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 192 and 197 the smallest integer that is 37824 that is divisible by both numbers.

Least Common Multiple (LCM) of 192 and 197 is 37824.

LCM(192,197) = 37824

LCM of 192 and 197

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

LCM of:
and

Least Common Multiple of 192 and 197

LCM of 192 and 197 is 37824

Least common multiple can be found by multiplying the highest exponent prime factors of 192 and 197. First we will calculate the prime factors of 192 and 197.

Prime Factorization of 192


2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 192 are 2,3. Prime factorization of 192 in exponential form is:

192 = 26×31

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 192 and 197.

LCM(192,197) = 26×31×1971
LCM(192,197) = 37824

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Factors of 197

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

1, 197

Least Common Multiple of 192 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 192 and 197, than apply into the LCM equation.

GCF(192,197) = 1
LCM(192,197) = ( 192 × 197) / 1
LCM(192,197) = 37824 / 1
LCM(192,197) = 37824

Properties of LCM 192 and 197

(i) The LCM of 197 and 192 is associative

LCM of 192 and 197 = LCM of 197 and 192

Related Least Common Multiples of 192

Related Least Common Multiples of 197

Frequently Asked Questions on LCM of 192 and 197

1. What is the LCM of 192 and 197?

Answer: LCM of 192 and 197 is 37824.

2. What are the Factors of 192?

Answer: Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. There are 14 integers that are factors of 192. The greatest factor of 192 is 192.

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 192 and 197?

Answer:

Least Common Multiple of 192 and 197 = 37824

Step 1: Find the prime factorization of 192

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

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 = 37824 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 197

Step 4: Therefore, the least common multiple of 192 and 197 is 37824.