Least Common Multiple of 195 and 202

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 202 the smallest integer that is 39390 that is divisible by both numbers.

Least Common Multiple (LCM) of 195 and 202 is 39390.

LCM(195,202) = 39390

LCM of 195 and 202

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

LCM of:
and

Least Common Multiple of 195 and 202

LCM of 195 and 202 is 39390

Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 202. First we will calculate the prime factors of 195 and 202.

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 202


2 202
101 101
1

Prime factors of 202 are 2,101. Prime factorization of 202 in exponential form is:

202 = 21×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 202.

LCM(195,202) = 21×31×51×131×1011
LCM(195,202) = 39390

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 202

List of positive integer factors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Least Common Multiple of 195 and 202 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 202, than apply into the LCM equation.

GCF(195,202) = 1
LCM(195,202) = ( 195 × 202) / 1
LCM(195,202) = 39390 / 1
LCM(195,202) = 39390

Properties of LCM 195 and 202

(i) The LCM of 202 and 195 is associative

LCM of 195 and 202 = LCM of 202 and 195

Related Least Common Multiples of 195

Related Least Common Multiples of 202

Frequently Asked Questions on LCM of 195 and 202

1. What is the LCM of 195 and 202?

Answer: LCM of 195 and 202 is 39390.

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 202?

Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.

4. How to Find the LCM of 195 and 202?

Answer:

Least Common Multiple of 195 and 202 = 39390

Step 1: Find the prime factorization of 195

195 = 3 x 5 x 13

Step 2: Find the prime factorization of 202

202 = 2 x 101

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

LCM = 39390 = 2 x 3 x 5 x 13 x 101

Step 4: Therefore, the least common multiple of 195 and 202 is 39390.