Least Common Multiple of 195 and 196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 195 and 196 the smallest integer that is 38220 that is divisible by both numbers.

Least Common Multiple (LCM) of 195 and 196 is 38220.

LCM(195,196) = 38220

LCM of 195 and 196

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

LCM of:
and

Least Common Multiple of 195 and 196

LCM of 195 and 196 is 38220

Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 196. First we will calculate the prime factors of 195 and 196.

Prime Factorization of 195


3 195
5 65
13 13
1

Prime factors of 195 are 3, 5,13. Prime factorization of 195 in exponential form is:

195 = 31×51×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 196.

LCM(195,196) = 22×31×51×72×131
LCM(195,196) = 38220

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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

Least Common Multiple of 195 and 196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 195 and 196, than apply into the LCM equation.

GCF(195,196) = 1
LCM(195,196) = ( 195 × 196) / 1
LCM(195,196) = 38220 / 1
LCM(195,196) = 38220

Properties of LCM 195 and 196

(i) The LCM of 196 and 195 is associative

LCM of 195 and 196 = LCM of 196 and 195

Related Least Common Multiples of 195

Related Least Common Multiples of 196

Frequently Asked Questions on LCM of 195 and 196

1. What is the LCM of 195 and 196?

Answer: LCM of 195 and 196 is 38220.

2. What are the Factors of 195?

Answer: Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. There are 8 integers that are factors of 195. The greatest factor of 195 is 195.

3. 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.

4. How to Find the LCM of 195 and 196?

Answer:

Least Common Multiple of 195 and 196 = 38220

Step 1: Find the prime factorization of 195

195 = 3 x 5 x 13

Step 2: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

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

LCM = 38220 = 2 x 2 x 3 x 5 x 7 x 7 x 13

Step 4: Therefore, the least common multiple of 195 and 196 is 38220.