Least Common Multiple of 199 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 199 and 202 the smallest integer that is 40198 that is divisible by both numbers.

Least Common Multiple (LCM) of 199 and 202 is 40198.

LCM(199,202) = 40198

LCM of 199 and 202

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

LCM of:
and

Least Common Multiple of 199 and 202

LCM of 199 and 202 is 40198

Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 202. First we will calculate the prime factors of 199 and 202.

Prime Factorization of 199


199 199
1

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

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 199 and 202.

LCM(199,202) = 21×1011×1991
LCM(199,202) = 40198

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1, 199

Factors of 202

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

1, 2, 101, 202

Least Common Multiple of 199 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 199 and 202, than apply into the LCM equation.

GCF(199,202) = 1
LCM(199,202) = ( 199 × 202) / 1
LCM(199,202) = 40198 / 1
LCM(199,202) = 40198

Properties of LCM 199 and 202

(i) The LCM of 202 and 199 is associative

LCM of 199 and 202 = LCM of 202 and 199

Related Least Common Multiples of 199

Related Least Common Multiples of 202

Frequently Asked Questions on LCM of 199 and 202

1. What is the LCM of 199 and 202?

Answer: LCM of 199 and 202 is 40198.

2. What are the Factors of 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

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 199 and 202?

Answer:

Least Common Multiple of 199 and 202 = 40198

Step 1: Find the prime factorization of 199

199 = 199

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 = 40198 = 2 x 101 x 199

Step 4: Therefore, the least common multiple of 199 and 202 is 40198.