Least Common Multiple of 197 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 197 and 202 the smallest integer that is 39794 that is divisible by both numbers.

Least Common Multiple (LCM) of 197 and 202 is 39794.

LCM(197,202) = 39794

LCM of 197 and 202

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

LCM of:
and

Least Common Multiple of 197 and 202

LCM of 197 and 202 is 39794

Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 202. First we will calculate the prime factors of 197 and 202.

Prime Factorization of 197


197 197
1

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

197 = 1971

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 197 and 202.

LCM(197,202) = 21×1011×1971
LCM(197,202) = 39794

Factors of 197

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

1, 197

Factors of 202

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

1, 2, 101, 202

Least Common Multiple of 197 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 197 and 202, than apply into the LCM equation.

GCF(197,202) = 1
LCM(197,202) = ( 197 × 202) / 1
LCM(197,202) = 39794 / 1
LCM(197,202) = 39794

Properties of LCM 197 and 202

(i) The LCM of 202 and 197 is associative

LCM of 197 and 202 = LCM of 202 and 197

Related Least Common Multiples of 197

Related Least Common Multiples of 202

Frequently Asked Questions on LCM of 197 and 202

1. What is the LCM of 197 and 202?

Answer: LCM of 197 and 202 is 39794.

2. 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.

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 197 and 202?

Answer:

Least Common Multiple of 197 and 202 = 39794

Step 1: Find the prime factorization of 197

197 = 197

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 = 39794 = 2 x 101 x 197

Step 4: Therefore, the least common multiple of 197 and 202 is 39794.