Least Common Multiple of 189 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 189 and 197 the smallest integer that is 37233 that is divisible by both numbers.

Least Common Multiple (LCM) of 189 and 197 is 37233.

LCM(189,197) = 37233

LCM of 189 and 197

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

LCM of:
and

Least Common Multiple of 189 and 197

LCM of 189 and 197 is 37233

Least common multiple can be found by multiplying the highest exponent prime factors of 189 and 197. First we will calculate the prime factors of 189 and 197.

Prime Factorization of 189


3 189
3 63
3 21
7 7
1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

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 189 and 197.

LCM(189,197) = 33×71×1971
LCM(189,197) = 37233

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Factors of 197

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

1, 197

Least Common Multiple of 189 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 189 and 197, than apply into the LCM equation.

GCF(189,197) = 1
LCM(189,197) = ( 189 × 197) / 1
LCM(189,197) = 37233 / 1
LCM(189,197) = 37233

Properties of LCM 189 and 197

(i) The LCM of 197 and 189 is associative

LCM of 189 and 197 = LCM of 197 and 189

Related Least Common Multiples of 189

Related Least Common Multiples of 197

Frequently Asked Questions on LCM of 189 and 197

1. What is the LCM of 189 and 197?

Answer: LCM of 189 and 197 is 37233.

2. What are the Factors of 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

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 189 and 197?

Answer:

Least Common Multiple of 189 and 197 = 37233

Step 1: Find the prime factorization of 189

189 = 3 x 3 x 3 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 = 37233 = 3 x 3 x 3 x 7 x 197

Step 4: Therefore, the least common multiple of 189 and 197 is 37233.